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The figure below shows a cylindrical capacitor; it consists of a solid metal rod

ID: 582376 • Letter: T

Question

The figure below shows a cylindrical capacitor; it consists of a solid metal rod of radius surrounded by a metal cylinder with inner radius r_1 and outer radius r_2. Suppose the capacitor has length L (with L very large). Also suppose a charge +Q is placed on the inner rod and a charge -Q is placed on the outer cylinder. Find the electric field inside the rod (i.e., for r r > r_1). (Use the following as necessary: k where k = k = 1/4 pi epsilon_0, L, Q r.) O Find the electric field outside the capacitor (r > r3). (Use the following as necessary: k where k = 1/4 pi epsilon_0, L, Q r.)

Explanation / Answer

b) The long rod will behave like infinite line charge and we know that electric field due to infinite linear charge

2 k*lambda/r

Here lambda= Q/L.....linear charge density

So E = 2kQ/(Lr) Answer Try k instead of epsilon like I did

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