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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 Answer

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

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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 → = η t 2 k ^ , where η is a constant with units of V / ( m ⋅ s 2 ) .
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 , ϵ 0 , μ 0 , 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 , ϵ 0 , μ 0 , 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 , ϵ 0 , μ 0 , 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 , ϵ 0 , μ 0 , π . ◻
Part E
Does the current flow clockwise or counterclockwise from the perspective shown in the figure? clockwise counterclockwise Submit Request Answer

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