Question

Notify Me Bookmark

The current in the long, straight wire AB shown in (Figure 1 )is upward and is increasing steadily at a rate di dt. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Emf and current induced in a loop. Figure 1 of 1 Part A At an instant when the current is i, what are the magnitude of the field B→ at a distance r to the right of the wire? Express your answer in terms of the variables i, r, and magnetic constant μ0. Submit Request Answer Part B At an instant when the current is i, what are the direction of the field B→ at a distance r to the right of the wire? into the page out of the page Submit Request Answer Part C What is the flux dΦB through the narrow shaded strip? Express your answer in terms of the variables i, L, r, dr, and magnetic constant μ0. Submit Request Answer Part D What is the total flux through the loop? Express your answer in terms of the variables i, L, a, b, and magnetic constant μ0. Submit Request Answer Part E What is the induced emf in the loop? Express your answer in terms of the variables di, dt, L, a, b, and magnetic constant μ0. Submit Request Answer Part F Evaluate the numerical value of the induced emf if a = 12.0 cm, b = 36.0 cm, L = 24.0 cm, and di/dt = 9.60 A/s. Express your answer in volts. E = V Submit Request Answer

The current in the long, straight wire AB shown in (Figure 1 )is upward and is increasing steadily at a rate di dt. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Emf and current induced in a loop. Figure 1 of 1 Part A At an instant when the current is i, what are the magnitude of the field B→ at a distance r to the right of the wire? Express your answer in terms of the variables i, r, and magnetic constant μ0. Submit Request Answer Part B At an instant when the current is i, what are the direction of the field B→ at a distance r to the right of the wire? into the page out of the page Submit Request Answer Part C What is the flux dΦB through the narrow shaded strip? Express your answer in terms of the variables i, L, r, dr, and magnetic constant μ0. Submit Request Answer Part D What is the total flux through the loop? Express your answer in terms of the variables i, L, a, b, and magnetic constant μ0. Submit Request Answer Part E What is the induced emf in the loop? Express your answer in terms of the variables di, dt, L, a, b, and magnetic constant μ0. Submit Request Answer Part F Evaluate the numerical value of the induced emf if a = 12.0 cm, b = 36.0 cm, L = 24.0 cm, and di/dt = 9.60 A/s. Express your answer in volts. E = V Submit Request Answer The current in the long, straight wire AB shown in (Figure 1 )is upward and is increasing steadily at a rate di dt. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Emf and current induced in a loop. Figure 1 of 1 Part A At an instant when the current is i, what are the magnitude of the field B→ at a distance r to the right of the wire? Express your answer in terms of the variables i, r, and magnetic constant μ0. Submit Request Answer Part B At an instant when the current is i, what are the direction of the field B→ at a distance r to the right of the wire? into the page out of the page Submit Request Answer Part C What is the flux dΦB through the narrow shaded strip? Express your answer in terms of the variables i, L, r, dr, and magnetic constant μ0. Submit Request Answer Part D What is the total flux through the loop? Express your answer in terms of the variables i, L, a, b, and magnetic constant μ0. Submit Request Answer Part E What is the induced emf in the loop? Express your answer in terms of the variables di, dt, L, a, b, and magnetic constant μ0. Submit Request Answer Part F Evaluate the numerical value of the induced emf if a = 12.0 cm, b = 36.0 cm, L = 24.0 cm, and di/dt = 9.60 A/s. Express your answer in volts. E = V Submit Request Answer The current in the long, straight wire AB shown in (Figure 1 )is upward and is increasing steadily at a rate di dt. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Emf and current induced in a loop. Figure 1 of 1 Part A At an instant when the current is i, what are the magnitude of the field B→ at a distance r to the right of the wire? Express your answer in terms of the variables i, r, and magnetic constant μ0. Submit Request Answer Part B At an instant when the current is i, what are the direction of the field B→ at a distance r to the right of the wire? into the page out of the page Submit Request Answer Part C What is the flux dΦB through the narrow shaded strip? Express your answer in terms of the variables i, L, r, dr, and magnetic constant μ0. Submit Request Answer Part D What is the total flux through the loop? Express your answer in terms of the variables i, L, a, b, and magnetic constant μ0. Submit Request Answer Part E What is the induced emf in the loop? Express your answer in terms of the variables di, dt, L, a, b, and magnetic constant μ0. Submit Request Answer Part F Evaluate the numerical value of the induced emf if a = 12.0 cm, b = 36.0 cm, L = 24.0 cm, and di/dt = 9.60 A/s. Express your answer in volts. E = V Submit Request Answer The current in the long, straight wire AB shown in (Figure 1 )is upward and is increasing steadily at a rate di dt. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Emf and current induced in a loop. Figure 1 of 1 Part A At an instant when the current is i, what are the magnitude of the field B→ at a distance r to the right of the wire? Express your answer in terms of the variables i, r, and magnetic constant μ0. Submit Request Answer Part B At an instant when the current is i, what are the direction of the field B→ at a distance r to the right of the wire? into the page out of the page Submit Request Answer Part C What is the flux dΦB through the narrow shaded strip? Express your answer in terms of the variables i, L, r, dr, and magnetic constant μ0. Submit Request Answer Part D What is the total flux through the loop? Express your answer in terms of the variables i, L, a, b, and magnetic constant μ0. Submit Request Answer Part E What is the induced emf in the loop? Express your answer in terms of the variables di, dt, L, a, b, and magnetic constant μ0. Submit Request Answer Part F Evaluate the numerical value of the induced emf if a = 12.0 cm, b = 36.0 cm, L = 24.0 cm, and di/dt = 9.60 A/s. Express your answer in volts. E = V Submit Request Answer

Image text
The current in the long, straight wire A B shown in (Figure 1 )is upward and is increasing steadily at a rate d i d t .
For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Emf and current induced in a loop.
Figure 1 of 1
Part A
At an instant when the current is i , what are the magnitude of the field B → at a distance r to the right of the wire?
Express your answer in terms of the variables i , r , and magnetic constant μ 0 . ◻ Submit Request Answer Part B
At an instant when the current is i , what are the direction of the field B → at a distance r to the right of the wire? into the page out of the page Submit Request Answer
Part C
What is the flux d Φ B through the narrow shaded strip? Express your answer in terms of the variables i , L , r , d r , and magnetic constant μ 0 . ◻ Submit Request Answer Part D
What is the total flux through the loop? Express your answer in terms of the variables i , L , a , b , and magnetic constant μ 0 . ◻ Submit Request Answer
Part E
What is the induced emf in the loop? Express your answer in terms of the variables d i , d t , L , a , b , and magnetic constant μ 0 . Submit Request Answer Part F
Evaluate the numerical value of the induced emf if a = 12.0 c m , b = 36.0 c m , L = 24.0 c m , and d i / d t = 9.60 A / s .
Express your answer in volts.
E =
◻ V Submit Request Answer

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

A uniform electric field is directed axially in a cylindrical region that includes a rectangular loop of wire with total resistance R. This loop has radially oriented width a and axially oriented length b, and sits tight against the cylinder axis, as shown in (Figure 1). The electric field is zero at time t = 0 and then increases in time according to E→ = ηt2k^, where η is a constant with units of V/(m⋅s2). Figure 1 of 1 Part A What is the magnitude of the displacement current through a circular loop centered on the cylinder axis with radius r ≤ a, at time t ? Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Submit Request Answer Part B Use Ampere's law to determine the magnitude of the magnetic field a distance r ≤ a from the cylinder axis at time t. Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Part C What is the magnetic flux at time t through the rectangular wire loop? Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Submit Request Answer Part D What magnitude of current flows in the wire? Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Part E Does the current flow clockwise or counterclockwise from the perspective shown in the figure? clockwise counterclockwise Submit Request AnswerA uniform electric field is directed axially in a cylindrical region that includes a rectangular loop of wire with total resistance R. This loop has radially oriented width a and axially oriented length b, and sits tight against the cylinder axis, as shown in (Figure 1). The electric field is zero at time t = 0 and then increases in time according to E→ = ηt2k^, where η is a constant with units of V/(m⋅s2). Figure 1 of 1 Part A What is the magnitude of the displacement current through a circular loop centered on the cylinder axis with radius r ≤ a, at time t ? Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Submit Request Answer Part B Use Ampere's law to determine the magnitude of the magnetic field a distance r ≤ a from the cylinder axis at time t. Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Part C What is the magnetic flux at time t through the rectangular wire loop? Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Submit Request Answer Part D What magnitude of current flows in the wire? Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Part E Does the current flow clockwise or counterclockwise from the perspective shown in the figure? clockwise counterclockwise Submit Request AnswerA uniform electric field is directed axially in a cylindrical region that includes a rectangular loop of wire with total resistance R. This loop has radially oriented width a and axially oriented length b, and sits tight against the cylinder axis, as shown in (Figure 1). The electric field is zero at time t = 0 and then increases in time according to E→ = ηt2k^, where η is a constant with units of V/(m⋅s2). Figure 1 of 1 Part A What is the magnitude of the displacement current through a circular loop centered on the cylinder axis with radius r ≤ a, at time t ? Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Submit Request Answer Part B Use Ampere's law to determine the magnitude of the magnetic field a distance r ≤ a from the cylinder axis at time t. Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Part C What is the magnetic flux at time t through the rectangular wire loop? Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Submit Request Answer Part D What magnitude of current flows in the wire? Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Part E Does the current flow clockwise or counterclockwise from the perspective shown in the figure? clockwise counterclockwise Submit Request AnswerA uniform electric field is directed axially in a cylindrical region that includes a rectangular loop of wire with total resistance R. This loop has radially oriented width a and axially oriented length b, and sits tight against the cylinder axis, as shown in (Figure 1). The electric field is zero at time t = 0 and then increases in time according to E→ = ηt2k^, where η is a constant with units of V/(m⋅s2). Figure 1 of 1 Part A What is the magnitude of the displacement current through a circular loop centered on the cylinder axis with radius r ≤ a, at time t ? Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Submit Request Answer Part B Use Ampere's law to determine the magnitude of the magnetic field a distance r ≤ a from the cylinder axis at time t. Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Part C What is the magnetic flux at time t through the rectangular wire loop? Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Submit Request Answer Part D What magnitude of current flows in the wire? Express your answer in terms of some or all of the variables R, a, b, r, t, and constants η, ϵ0, μ0, π. Part E Does the current flow clockwise or counterclockwise from the perspective shown in the figure? clockwise counterclockwise Submit Request Answer
Solution
0 0

A thin, 52.0 cm long metal bar with mass 750 g rests on, but is not attached to, two metallic supports in a uniform magnetic field with a magnitude of 0.440 T, as shown in ( Figure 1). A battery and a resistor of resistance 29.0 Ω are connected in series to the supports. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Magnetic force on a straight conductor. Figure 1 of 1 Part A What is the largest voltage the battery can have without breaking the circuit at the supports? Express your answer in volts. Submit Request Answer Part B The battery voltage has the maximum value calculated in part (a). If the resistor suddenly gets partially short-circuited, decreasing its resistance to 2.00 Ω, find the initial acceleration of the bar. Express your answer in meters per second squared. a = m/s2A thin, 52.0 cm long metal bar with mass 750 g rests on, but is not attached to, two metallic supports in a uniform magnetic field with a magnitude of 0.440 T, as shown in ( Figure 1). A battery and a resistor of resistance 29.0 Ω are connected in series to the supports. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Magnetic force on a straight conductor. Figure 1 of 1 Part A What is the largest voltage the battery can have without breaking the circuit at the supports? Express your answer in volts. Submit Request Answer Part B The battery voltage has the maximum value calculated in part (a). If the resistor suddenly gets partially short-circuited, decreasing its resistance to 2.00 Ω, find the initial acceleration of the bar. Express your answer in meters per second squared. a = m/s2
Solution
0 0

Part A Calculate the magnitude of the magnetic field at point P due to the current in the semicircular section of wire shown in the figure (Figure 1). (Hint: Does the current in the long, straight section of the wire produce any field at P ? ) Express your answer in terms of the variables I, R, and magnetic constant μ0. Submit Request Answer Part B Find the direction of the magnetic field at point P. into the page out of the page Figure 1 of 1 Part A Calculate the magnitude of the magnetic field at point P due to the current in the semicircular section of wire shown in the figure (Figure 1). (Hint: Does the current in the long, straight section of the wire produce any field at P ? ) Express your answer in terms of the variables I, R, and magnetic constant μ0. Submit Request Answer Part B Find the direction of the magnetic field at point P. into the page out of the page Figure 1 of 1

Solution
0 0