Could you please do question 4.51 The electric field intensity in free space is

Question

Could you please do question 4.51

The electric field intensity in free space is given by E = 2 xyz a_x + x^2za_y + x^2ya_z V/m A sheet of charge with density p_s = 40 nC/m^2 occupies the x = 0 plane. Determine the work done in moving a 10 muC charge from point A(3, 4, -1) to point B(1, 2, 6). Each of two concentric spherical shells has inner radius a and outer radius b. If the inner shell carries charge Q, while the outer shell carries charge - Q, determine the potential difference V_ab between the shells.

Explanation / Answer

Poetntial at a point is given be

V=K Q/r

where Q is charge , r is distance where potential is to find and K is constant .

For charge Q potential is

Va=K Q/a

where -Q is charge , r is distance where potential is to find and K is constant

Vb=-KQ/b

potential difference Vab=Va-Vb

Vab=KQ/a +KQ/b

Vab=K(Q/a + Q/b) ANS

  

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