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Region A has charge of -3q, Region B has a charge of +4q, and Region C contents no charges. Which regions will have an electric field of zero? Which regions will the electric potential be zero?

Question

Region A has charge of -3q, Region B has a charge of +4q, and Region C contents no charges. Which regions will have an electric field of zero? Which regions will the electric potential be zero?

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Step 1

Let QA be the charge contained in the region A, QB be the charge contained in region B, and QC be the charge contained in region C.

Write the value of charge as given in the question.

= -3q
- 4q
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= -3q - 4q

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Step 2

Write the expression for the electric field in a given region.

kQ
E =
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kQ E =

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Step 3

As k and r are non-zero variables, compare the electric field in...

kQ
E4
k(3g)
# 0
kQB
E3
k(4q)
0
koc
Ec
k(0)
=0
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kQ E4 k(3g) # 0 kQB E3 k(4q) 0 koc Ec k(0) =0

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