In the figure below, a uniform magnetic field decreases at a constant rate dB/dt = –K, where K is a positive constant. A circular loop of wire of radius a containing a resistance R and a capacitance C is placed with its plane normal to the field. (a) Find the charge Q on the capacitor when it is fully charged. (b) Which plate, upper or lower, is at the higher potential? x Bin x

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2. In the figure below, a uniform magnetic field decreases at a constant rate dB/dt = -K, where K is a
positive constant. A circular loop of wire of radius a containing a resistance R and a capacitance C is
placed with its plane normal to the field.
(a) Find the charge Q on the capacitor when it is fully charged.
(b) Which plate, upper or lower, is at the higher potential?
(c) Derive the potential difference across the capacitor as a function of time.
(d) Derive the electric current through the resistor as a function of time.
Bin
'in x
R
Transcribed Image Text:2. In the figure below, a uniform magnetic field decreases at a constant rate dB/dt = -K, where K is a positive constant. A circular loop of wire of radius a containing a resistance R and a capacitance C is placed with its plane normal to the field. (a) Find the charge Q on the capacitor when it is fully charged. (b) Which plate, upper or lower, is at the higher potential? (c) Derive the potential difference across the capacitor as a function of time. (d) Derive the electric current through the resistor as a function of time. Bin 'in x R
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