Negative charge -1nC is distributed uniformly throughout an insulating sphere of

Question

Negative charge -1nC is distributed uniformly throughout an insulating sphere of radius 8cm, centered at the origin. A particle with negative charge -1nC is placed at x = 16cm on the x- axis. They may of the electric field in N/C at x = 4cm on the x-axis is A. 900, directed to -ve x-axis B. 78, directed to +ve x-axis C. 450 directed +ve x-axis D. 849. directed to -ve x-axis E. none of these Positive charge Q is placed on a conducting spherical shell with inner radius R_1 and outer Radius, R_2. A point charge q is placed at the center of the cavity. The magnitude of the electric field at a point outside the shell, a distance r from the center, is: A. zero B. Q/4 pi epsilon_0 r^2 C. q/4 pi epsilon_0 r^2 D. (q + Q)/4 pi epsilon_0 r^2 E. (q + Q)/4 pi epsilon_0 R_1^2 - r^2)

Explanation / Answer

Electric field at 4 cm due to sphere is E = Kqr /R 3

Where K = Coulomb's constant = 8.99x10 9 Nm 2/C 2

q = 1nC = 10 -9 C

r = 4 cm = 0.04 m

R = Radius of sphere = 8 cm = 0.08 m

Substitute values you get , E = ( 8.99x10 9 )(10 -9 )(0.04) /(0.08) 3

        = 702.34 N/C

It is along negative X direction

Electric field at 4 cm due to point charge is E ' = Kq / r' 2

Where r ' = 16 cm - 4 cm = 12 cm = 0.12 m

Substitute values you get E ' =  ( 8.99x10 9 )(10 -9 )/0.12 2

= 624.3 N/C

It is along positive X direction.

So, net electric field E " = E - E '

= 78 N/C

Along negative X direction

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