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1) In a certain region, the electric field along the x axis is given by E=ax+b,

ID: 3899789 • Letter: 1

Question

1) In a certain region, the electric field along the x axis is given by E=ax+b, where a= 40 V/m^2 and b= 4 V/m. The potential difference between the origin and x= 0.5m is...?

The answer is -7V

How do you get this answer(explanation)

2) In a region of space, a spherically symmetric electric potential is given as a function of r, the distance from the origin, by the equation V(r) = kr2, where k is a positive constant.

The answer is 2kr0

How do you get this answer(explanation)

3) How much net work must be done by an external force to move a -1

?C point charge from rest at point C to rest at point E?

The answer is -10?J

How do you get this answer(explanation)


Explanation / Answer

1) V = -integra of E dx = -integral of 40 x + 4 from 0 to 0.5 = -1*(20*0.5^2 +4*0.4)= -7 V

2) E = dV/dr = 2 k r0

3) W = q dV = -1.0E-6*( 20 - 10) = -10.0E-6 J = -10 uJ