a metal sphere a has charge q two other spheres b c are identicle to a except they have zero net

a) When A touches B, the charge Q is equally distributed between the two spheres, so each sphere

A metal sphere a has charge q two other spheres b c are...

A metal sphere, A, has charge Q. Two other spheres, B & C, are identical to A except they have zero net charge. A touches B, then the two spheres are separated. B touches C, with C grounded during this contact, then those spheres are separated. Finally, C touches A, and those two spheres are separated. a) How much charge is on A? 0, Q, Q^2, Q^4 b) How much charge is on sphere B? Q/4, Q/2, 0, Q/8 c) How much charge is on sphere C? Q, Q/4, 0, Q/2

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00:01 Hello students, in this question, three metal spheres named a, b and z are given.

00:08 The charge on a sphere is q, whereas the charge on a sphere b and c is zero.

00:13 Now, there are different cases which are given to us in the question.

00:18 Initially, sphere a touches with a sphere b and is separated.

00:23 Then the sphere b touches with a sphere c which is grounded and then separated.

00:29 And finally sphere c touches the sphere a.

00:33 We have to calculate the final charge on a, b and c.

00:36 So we will use the basic fact here that when the metal spheres are brought in contact, there is equal sharing of charges of charges.

01:08 Now looking at the diagram in the first case when a is bought in contact, with b.

01:15 So i can write in first case when a is bought in contact with b.

01:29 The initial condition were a had q charge whereas b was at zero charge.

01:37 Now when a is bought in contact with b and both the spheres are conductor so the charge distribution will be equally between the two spheres.

01:47 So after this, the final charge on sphere a will be equal to q divided by 2, that on a sphere b will be equal to q divided by 2, whereas c is not involved yet, so the charge in c will still be 0.

02:04 Now in the second case, if b touches c while the c is grounded...

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