# At what distance from a 1.00*10^-5 C charge will the electric potential be 10000 V?

Relevance

V = kq/r so r = kq/V

= 8.98755179e9 * 1e-5/1e4 = 8.98755179e9 * 1e-5/1e4 =

= 8.98755179e9 * 1e-9 = 8.98755179 = 8.99 m <<<<<<<

Your answer was off by a factor of 10 due to an exponent error. Still wrong but you have the right idea.

• oldschool
Lv 7
3 months agoReport

Thank YOU!

• Charges in static electricity are typically in the nanocoulomb (nC) to microcoulomb (µC) range. What is the voltage 5.00 cm away from the center of a 1-cm diameter metal sphere that has a −3.00 nC static charge?

Strategy

As we have discussed in Electric Charge and Electric Field, charge on a metal sphere spreads out uniformly and produces a field like that of a point charge located at its center. Thus we can find the voltage using the equation

V

=

k

Q

r

.

Solution

Entering known values into the expression for the potential of a point charge, we obtain

V

=

k

Q

r

=

(

8.99

×

10

9

N

m

2

/C

2

)

(

3.00

×

10

9

C

5.00

×

10

2

m

)

=

539

V

Discussion

The negative value for voltage means a positive charge would be attracted from a larger distance, since the potential is lower (more negative) than at larger distances. Conversely, a negative charge would be repelled, as expected.

• Hi everyone never mind I got it 8.99 because I left out 1 zero at 1000 should have been 10,000