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Two insulated charged conducting spheres...

Two insulated charged conducting spheres of radii `20 cm` and `15 cm` respectively and having an equal charge of `10 C` are connected by a copper wire and then they are separted. Then

A

Both spheres will have equal charges

B

Surgace charge density on the 20 cm sphere will be greater than that on the 15 cm sphere

C

Surface charge density on the 15 cm sphere cm will be greater than that on the 20 cm sphere

D

Surface charge density on the two spheres will be equal .

Text Solution

AI Generated Solution

To solve the problem, we will follow these steps: ### Step 1: Understand the Problem We have two insulated charged conducting spheres with radii \( R_1 = 20 \, \text{cm} = 0.2 \, \text{m} \) and \( R_2 = 15 \, \text{cm} = 0.15 \, \text{m} \), each having a charge \( Q = 10 \, \text{C} \). They are connected by a copper wire, allowing charge to redistribute until they reach the same potential. ### Step 2: Calculate the Capacitance of Each Sphere The capacitance \( C \) of a conducting sphere is given by the formula: \[ ...
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