The charges are q 1 = 3.0 ?C (bottom left chrge), q 2 = 5.0 ?C , and q 3 = -3.0

Question

The charges are q1 = 3.0 ?C (bottom left chrge), q2 = 5.0 ?C , and q3 = -3.0 ?C (top charge). The distances are a =1.30cm, b =3.30cm, and c =2.20cm. Point "X" is at the top left corner, a distance c away from q1 and a distance a away from q3.

a) What is in Volts the electrical potential at the point labeled by the letter "X" due to the bottom left charge (q1)?

b) What is in Volts the electrical potential at the point labeled by the letter "X" due to the bottom right charge (q2)?

c) What is in Volts the electrical potential at the point labeled by the letter "X" due to the top charge (q3)?

d) What is in Volts the electrical potential at the point labeled by the letter "X" due to all charges?

Explanation / Answer

a ) electrical potential at the point labeled by the letter "X" due to the bottom left charge (q1)

will be V = KQ /r

V= ( 8.99 * 10 ^ 9 ) * 3 /0.022

V=1.225 * 10 ^ 12 volts

b ) electrical potential at the point labeled by the letter "X" due to the bottom right charge (q2)

V=KQ/r

V= 8.99 * 10 ^9 *5 /0.046

v=9.7 * 10 ^11 volts

c )electrical potential at the point labeled by the letter "X" due to the bottom right charge (q3)

will be

Electrical potential = KQ/r

K=8.99 * 10 ^ 9

Q=3 C

r=0.013 m

V=8.99 * 10 ^9 * 3 /0.013

V=2.074 * 10 ^ 12 volts ( negitive )

d ) total potential = 1.225 * 10 ^ 12 + 9.7 * 10 ^11 -2.074 * 10 ^12

=1.21 * 10 ^ 11 volts

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