A large parallel-plate capacitor with uniform surface charge o on the upper plate and-o on the lower is moving with a constant speed v, as shown in Fig. 1. (a) Find the magnetic field between the plates and also above and below them. (b) Find the magnetic force per unit area on the upper plate, including its direction. (c) At what speed v would the magnetic force balance the electrical force? Fig. 1

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**Problem 3.**

A large parallel-plate capacitor with uniform surface charge $\sigma$ on the upper plate and $-\sigma$ on the lower is moving with a constant speed $v$, as shown in Fig. 1. 

(a) Find the magnetic field between the plates and also above and below them.

(b) Find the magnetic force per unit area on the upper plate, including its direction.

(c) At what speed $v$ would the magnetic force balance the electrical force?

**Fig. 1:** 

The figure illustrates a parallel-plate capacitor. The upper plate has a surface charge $\sigma$ and the lower plate has a surface charge of $-\sigma$. Both plates are shown moving to the right with velocity $v$.
Transcribed Image Text:**Problem 3.** A large parallel-plate capacitor with uniform surface charge $\sigma$ on the upper plate and $-\sigma$ on the lower is moving with a constant speed $v$, as shown in Fig. 1. (a) Find the magnetic field between the plates and also above and below them. (b) Find the magnetic force per unit area on the upper plate, including its direction. (c) At what speed $v$ would the magnetic force balance the electrical force? **Fig. 1:** The figure illustrates a parallel-plate capacitor. The upper plate has a surface charge $\sigma$ and the lower plate has a surface charge of $-\sigma$. Both plates are shown moving to the right with velocity $v$.
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