Question

Notify Me Bookmark

A wire radius a and b formed a closed circuit with radius a and radius b as shown in the figure. The circuit carries a current I. If the magnetic field is zero at the center point of P (or center of circular curves) then what is the ratio of a/b? (Attention: Be sure to mark the correct answer. If you mark a wrong answer, you will lose 20% of the pt.) a) 4/3 b) 2/3 c) 3/2 d) 7/2 e) 9/2

A wire radius a and b formed a closed circuit with radius a and radius b as shown in the figure. The circuit carries a current I. If the magnetic field is zero at the center point of P (or center of circular curves) then what is the ratio of a/b? (Attention: Be sure to mark the correct answer. If you mark a wrong answer, you will lose 20% of the pt.) a) 4/3 b) 2/3 c) 3/2 d) 7/2 e) 9/2

Image text
A wire radius a and b formed a closed circuit with radius a and radius b as shown in the figure. The circuit carries a current I . If the magnetic field is zero at the center point of P (or center of circular curves) then what is the ratio of a / b ? (Attention: Be sure to mark the correct answer. If you mark a wrong answer, you will lose 20 % of the pt.) a) 4 / 3 b) 2 / 3 c) 3 / 2 d) 7 / 2 e) 9 / 2

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

Consider the non-uniform charge distribution ρ(r) = ρ0r/R of an infinitely long cylinder of radius R . What is the electric force on a point charge q located at r where r < R? (Attention: Be sure to mark the correct answer. If you mark a wrong answer you will lose 20% of the pt.) a) qρ0ϵ0 r b) qρ02ϵ0 r c) qρ03ϵ0 Rr2 d) qρ02ϵ0 Rr2 e) qρ03ϵ0 Rr3
Solution
0 0

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

The circuit shown in the figure is used to make a magnetic balance to weigh objects. The mass m to be measured is hung from the center of the bar, that is in a uniform magnetic field of 1.50 T, directed into the plane of the figure. The battery voltage can be adjusted to vary the current in the circuit. The horizontal bar is 60.0 cm long and is made of extremely light-weight material. It is connected to the battery by thin vertical wires that can support no appreciable tension; all the weight of the suspended mass m is supported by the magnetic force on the bar. A resistor with R = 5.00 Ω is in series with the bar; the resistance of the rest of the circuit is much less than this. (Figure 1) Figure 1 of 1 Part A Which point, a or b, should be the positive terminal of the battery? a b Submit Request Answer Part B If the maximum terminal voltage of the battery is 175 V, what is the greatest mass m that this instrument can measure? Express your answer in kilograms. m = kg The circuit shown in the figure is used to make a magnetic balance to weigh objects. The mass m to be measured is hung from the center of the bar, that is in a uniform magnetic field of 1.50 T, directed into the plane of the figure. The battery voltage can be adjusted to vary the current in the circuit. The horizontal bar is 60.0 cm long and is made of extremely light-weight material. It is connected to the battery by thin vertical wires that can support no appreciable tension; all the weight of the suspended mass m is supported by the magnetic force on the bar. A resistor with R = 5.00 Ω is in series with the bar; the resistance of the rest of the circuit is much less than this. (Figure 1) Figure 1 of 1 Part A Which point, a or b, should be the positive terminal of the battery? a b Submit Request Answer Part B If the maximum terminal voltage of the battery is 175 V, what is the greatest mass m that this instrument can measure? Express your answer in kilograms. m = kg

Solution
0 0