Question

(Figure 1) shows a circuit with an area of 0.060 m2 containing a R=1.0 Ω resistor and a C=210 μF uncharged capacitor. Pointing into the plane of the circuit is a uniform magnetic field of magnitude 0.17 T. In 1.0×10^-2 s the magnetic field strengthens at a constant rate to become 0.70 T pointing into the plane.

What maximum charge (sign and magnitude) accumulates on the upper plate of the capacitor in the diagram?

Express your answer to two significant figures and include appropriate units.

Item 9 (Figure 1) shows a circuit with an area of 0.060 m2 containing a R 1.0 resistor and a C = 210 Funcharged capacitor Pointing into the plane of the circuk is a uniform magnetic field of magnitude 0.17 T. In 1.0 x 10-s the magnetic field strengthens at a constant rate to become 0.70 T pointing into the plane. Part A What maximum charge (sign and magnitude) accumulates on the upper plate of the capacitor in the diagram? Express your answer to two significant figures and include appropriate units. НА ? Value Units Submit Request Answer Provide Feedback Figure C 1 of 1 ♡ Ww R ® ♡ > >

Answer 1

The change in magnetic flux is change in magnetic field times area of the loop. Since the magnetic field is increasing into the page, the induced current will flow in counterclockwise direction. This means the charge on the bottom plate is positive and the upper plate will be negative.

The emf induced is rate of change fof flux.

$E=-\frac{(B_2-B_1)A}{t}=-\frac{(0.7-0.17)0.06}{10^{-2}}=-3.18$

The maximum charge on the upper plate is

$Q=CE=210\times 10^{-6}(-3.18)=-6.68\times 10^{-4}C$