- #1

brains

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I need some help figuring #2 problem out.

Homework Statement

1. two charges of 6 microcoulombs and 10 microcoulombs are 10cm apart. Calculate their force of repulsion. Calculate the electric field midway between them.

2. For the charges in question 1 calculate the potential midway between them. Calculate the work to bring an electron from far away to midway between them.

So for the first question I used F= k |q1||q2|/r^2 for the second part of the first question i did E = k |q|/r^2

i calculated that the force would be 53.94N

As for the electric midway I calculate it to 3.6 x 10^6 N/c Although I am not sure if i was supposed to add or subtract E1 and E2. So what i did is that i subtracted. But I am not entirely sure if that is my correct answer My work:

E1 = 8.99x 10^9 N*m^2/c^2 x |6 x10^-6 C|/(0.1m)^2

E1 = 5.39 x 10^6 N/c is my answer for E1

E2 = 8.99 x 10^9 N*m^2/c^2 x |10 x 10^-6C|/(0.1m)^2

E2 = 8.99 x 10 ^6 N/C

Then i did E = 8.99 x 10^6 N/C - 5.39 X 10^6 N/C

And I got 3.6 x 10^6 N/C however like i said before I am not exactly sure if this was the correct approach to get the electric field midwayFor the second question

I used this equation (U= k (q0)(q)/r ---> k being 8.99 x10^9n.m^2/c^2 for part of the 1st question in question 2 that asks for potential midway and got an answer of U= 10.78 N M

however when they asked me for the work in question two i assumed I should have used -W=q0Ed

but i don't know what numbers I would use for this equation. Would the correct way of going about it be

doing -W=(1.60 x 10^-19C)(8.99 x 10^6 N/C - 5.39 X 10^6 N/C)(0.1m) or is this wrong?

IF someone could please point me in the right direction and check if I've done these steps correctly it would be helpful. Thank you in advance.

Homework Statement

1. two charges of 6 microcoulombs and 10 microcoulombs are 10cm apart. Calculate their force of repulsion. Calculate the electric field midway between them.

2. For the charges in question 1 calculate the potential midway between them. Calculate the work to bring an electron from far away to midway between them.

So for the first question I used F= k |q1||q2|/r^2 for the second part of the first question i did E = k |q|/r^2

i calculated that the force would be 53.94N

As for the electric midway I calculate it to 3.6 x 10^6 N/c Although I am not sure if i was supposed to add or subtract E1 and E2. So what i did is that i subtracted. But I am not entirely sure if that is my correct answer My work:

E1 = 8.99x 10^9 N*m^2/c^2 x |6 x10^-6 C|/(0.1m)^2

E1 = 5.39 x 10^6 N/c is my answer for E1

E2 = 8.99 x 10^9 N*m^2/c^2 x |10 x 10^-6C|/(0.1m)^2

E2 = 8.99 x 10 ^6 N/C

Then i did E = 8.99 x 10^6 N/C - 5.39 X 10^6 N/C

And I got 3.6 x 10^6 N/C however like i said before I am not exactly sure if this was the correct approach to get the electric field midwayFor the second question

I used this equation (U= k (q0)(q)/r ---> k being 8.99 x10^9n.m^2/c^2 for part of the 1st question in question 2 that asks for potential midway and got an answer of U= 10.78 N M

however when they asked me for the work in question two i assumed I should have used -W=q0Ed

but i don't know what numbers I would use for this equation. Would the correct way of going about it be

doing -W=(1.60 x 10^-19C)(8.99 x 10^6 N/C - 5.39 X 10^6 N/C)(0.1m) or is this wrong?

IF someone could please point me in the right direction and check if I've done these steps correctly it would be helpful. Thank you in advance.

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