A charged conducting spherical shell of radius R = 3 m with total charge q = 23 μC produces the electric field given by E⃗ (r)={014πϵ0qr2r̂ forforrR(PICTURE ATTACHED OF EQUATION) a. Enter an expression for the electric potential inside the sphere ( r < R ) in terms of the given quantities, assuming the potential is zero at infinity. V(r)= b. Calculate the electric potential, in volts, at radius r inside the charged shell. V(r) =
A charged conducting spherical shell of radius R = 3 m with total charge q = 23 μC produces the electric field given by E⃗ (r)={014πϵ0qr2r̂ forforrR(PICTURE ATTACHED OF EQUATION) a. Enter an expression for the electric potential inside the sphere ( r < R ) in terms of the given quantities, assuming the potential is zero at infinity. V(r)= b. Calculate the electric potential, in volts, at radius r inside the charged shell. V(r) =
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A charged conducting spherical shell of radius R = 3 m with total charge q = 23 μC produces the electric field given by
E⃗ (r)={014πϵ0qr2r̂ forforr<Rr>R(PICTURE ATTACHED OF EQUATION)
a. Enter an expression for the electric potential inside the sphere ( r < R ) in terms of the given quantities, assuming the potential is zero at infinity.
V(r)=
b. Calculate the electric potential, in volts, at radius r inside the charged shell.
V(r) =
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Expert Solution
Part A
The potential at some position is defined as the negative of work done per unit charge to bring the test charge from infinity to that place, i.e. mathematically
Given that the electric field has expression,
And the sphere of radius 3m contains a total charge q=23µC.
Substituting (2) in (1) gives the potential as,
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