How far from a 0.7 point charge does the potential have a value of 165 V?

Use a value of 9.00x109 N.m2/C2 for Coulomb's constant, k.

Write your answer in the units of meter (m) to the second decimal place, e.g. 6.23

Do not include units in your answer; just write the numerical value.

Question

How far from a 0.7  point charge does the potential have a value of 165 V?

Use a value of 9.00x109 N.m2/C2 for Coulomb's constant, k.

Write your answer in the units of meter (m) to the second decimal place, e.g. 6.23

Do not include units in your answer; just write the numerical value.

BlackTom AI · Accepted Answer

First, identify the relation between electric potential V due to a point charge Q at distance r: V = k Q / r. Next, solve for r to find the distance when V is given.
We rearrange the equation to r = k Q / V.
Plug in the provided values: k = 9.00 × 10^9 N·m^2/C^2, Q = 0.7 C, and V = 165 V.
r = (9.00×10^9 × 0.7) / 165.
Compute the numerator: 9.00×10^9 × 0.7 = 6.30×10^9.
Now divide by 165: 6.30×10^9 / 165 ≈ 3.8181818×10^7 meters.
For the required output format, round to two decimal places in meters, yielding 38,181,818.18.
So the numerical value to enter (without units) is 38181818.18.
If you want to sanity-check, note that a larger distance decreases potential for a fixed charge, and this distance indeed corresponds to a sizable separation given the relatively moderate potential of 165 V for a 0.7 C charge with the given k.

How far from a 0.7 point charge does the potential have a value of 165 V? Use a value of 9.00x109 N.m2/C2 for Coulomb's constant, k. Write your answer in the units of meter (m) to the second decimal place, e.g. 6.23 Do not include units in your answer; just write the numerical value. 简答题

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