A capacitor consists of two circu. plates of radius a separated by a distance d (assume d <« a). 'In ` centre of each plate is connected to the terminals of a voltage sou. • by a thin -Q wire. a d TE Using your expression for E above, calculate the electric flux through this flat disc of radius r < a in the plane midway between the plates, in tems of r, q(t), a, and ɛ. +Q A switch in the circuit is closed at time t = 0 and a current I(t) flows in the circuit. The charge on the plate is related to the current according to I (t) = dq/dt. We begin by calculating the electric field between the plates. Throughout this problem you may ignore edge effects. We assume that the electric field is zero for r>a. Now take an imaginary flat disc of radius r < a inside the capacitor, as shown below.
A capacitor consists of two circu. plates of radius a separated by a distance d (assume d <« a). 'In ` centre of each plate is connected to the terminals of a voltage sou. • by a thin -Q wire. a d TE Using your expression for E above, calculate the electric flux through this flat disc of radius r < a in the plane midway between the plates, in tems of r, q(t), a, and ɛ. +Q A switch in the circuit is closed at time t = 0 and a current I(t) flows in the circuit. The charge on the plate is related to the current according to I (t) = dq/dt. We begin by calculating the electric field between the plates. Throughout this problem you may ignore edge effects. We assume that the electric field is zero for r>a. Now take an imaginary flat disc of radius r < a inside the capacitor, as shown below.
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Transcribed Image Text:A capacitor consists of two circu. plates of radius a
separated by a distance d (assume d <« a). 'In ` centre of each
plate is connected to the terminals of a voltage sou. • by a thin
-Q
wire.
a
d
TE
Using your expression for E above, calculate the electric
flux through this flat disc of radius r < a in the plane
midway between the plates, in tems of r, q(t), a, and ɛ.
+Q
A switch in the circuit is closed at time t = 0 and a current I(t)
flows in the circuit. The charge on the plate is related to the
current according to I (t) = dq/dt. We begin by calculating the
electric field between the plates. Throughout this problem you
may ignore edge effects. We assume that the electric field is
zero for r>a.
Now take an imaginary flat disc of radius r < a inside
the capacitor, as shown below.
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