Pls answer this:
Two point charges +2q and -4q are fixed at points A(2,0,0)m and B(8,0,0)m. A spherical surface of radius 4m is centered at the origin. Show that every point on spherical surface is at zero potential.

Question

Pls answer this:
Two point charges +2q and -4q are fixed at points A(2,0,0)m and
B(8,0,0)m A spherical surface of radius 4m is centered at the
origin Show that every point on spherical surface is at zero
potential

Sanjay Singh · Accepted Answer

Dear student

Potential due to charge 2q at point P in space with co ordinates (x,y,z) isV1=K×(2q)(x-2)2+y2+z2Potential due to charge -4q at point P in space with co ordinates (x,y,z) isV2=K×(-4q)(x-8)2+y2+z2Net potential at point P isV=K×(2q)(x-2)2+y2+z2+K×(-4q)(x-8)2+y2+z20=(2)(x-2)2+y2+z2+(-4)(x-8)2+y2+z21(x-2)2+y2+z2=2(x-8)2+y2+z2(x-8)2+y2+z2=2×(x-2)2+y2+z2squaring both sides(x-8)2+y2+z2=2×(x-2)2+y2+z2x2+64-16x+y2+z2=4(x2+4-4x+y2+z2)x2+64-16x+y2+z2=4x2+16-16x+4y2+4z23x2+3y2+3z2-48=0x2+y2+z2=16This is the equation of sphere with centre at the origin and radius 4m
Regards

Pls answer this: Two point charges +2q and -4q are fixed at points A(2,0,0)m and B(8,0,0)m. A spherical surface of radius 4m is centered at the origin. Show that every point on spherical surface is at zero potential.

Pls answer this:
Two point charges +2q and -4q are fixed at points A(2,0,0)m and B(8,0,0)m. A spherical surface of radius 4m is centered at the origin. Show that every point on spherical surface is at zero potential.