Explanation Given info: The strength of the magnetic field is 0.25 T , the number of turns of the wire is 1 , the area of the circuit is 0.060 m 2 , the capacitance of the capacitor is 250 μF , the resistance of the circuit is 1.0 Ω and the time interval is 0.010 s . Since, the magnetic field vector normal to the area of the plate. So the angle between the magnetic field vector normal to the area of the plate is 0 ° . The magnetic field is perpendicular to the circular loop. Hence, the angle between area vector and magnetic field vector is 0 ° . Formula to calculate the induced emf is, ε = N | ϕ final − ϕ initial Δ t | (1) Here, N is the number of turns per unit area. ϕ initial is the initial magnetic flux. ϕ final is the final magnetic flux. Δ t is the time interval. ε is the induced emf. Formula to calculate the magnetic flux is, ϕ = B A cos θ (2) Here, B is the strength of the magnetic field. θ is the angle between area vector and magnetic field vector. ϕ is the magnetic flux. The final magnetic flux is, ϕ final = B final A cos θ The initial magnetic flux is, ϕ initial = B initial A cos θ Substitute B initial A cos θ for ϕ initial and B final A cos θ for ϕ final in equation (1). ε = N | B final A cos θ − B initial A cos θ Δ t | = N A cos θ | B final − B initial Δ t | (3) Since, the magnetic field reverses the direction with same magnitude. B final = − B initila Substitute − B initila for B final in equation (3). ε = N A cos θ ( − B initila − B initial Δ t ) = − 2 N A cos θ ( B initila Δ t ) (4) Substitute 1 for N , 0 ° for θ , 0.060 m 2 for A , 0.25 T for B initial and 0

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ISBN: 9780321976444

Author: James S. Walker

Publisher: PEARSON

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Chapter 23, Problem 32PCE

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The maximum charge (sign and magnitude) accumulates on the upper plate of the capacitor.

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The maximum charge (sign and magnitude) accumulates on the upper plate of the capacitor.

Solution Summary: The author explains that the maximum charge (sign and magnitude) accumulates on the upper plate of the capacitor. The magnetic field is perpendicular to the circular loop.

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The maximum charge (sign and magnitude) accumulates on the upper plate of the capacitor.

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