Q1 Circuit Loop in a Time-Dependent Magnetic Field
1 Point
A capacitor with capacitance $C$ is connected to a battery of voltage $V$ with circular conducting wire
that forms a circle of radius $R$. This system is placed into a region with uniform time-varying
magnetic field of magnitude $|\vec{B}(t)| = B_0e^{-\beta t}$ which is directed out of the page, where $B_0$ and $\beta$
are known constants. Find the charge $Q$ on the top plate of the capacitor ignoring the self-
inductance of the loop.
To receive ANY CREDIT on this problem you must draw all directions of currents, charges on
capacitors, and loops you will evaluate.