The physics of moving a small charge through a potential difference.

How much work is needed to move a -8.0 ìC charge from ground to a point whose potential is +75 V?

How much does work is required to move a -500 micro coulomb charge across a potential difference of 300V

To calculate the work needed to move a charge through a potential difference, we can use the equation:

Work = Charge x Potential Difference

Given:
Charge (q) = -8.0 μC (convert to coulombs: 1 μC = 10^-6 C)
Potential Difference (V) = +75 V

First, let's convert the charge from microcoulombs to coulombs:
-8.0 μC = -8.0 x 10^-6 C

Now we can calculate the work required using the formula:

Work = (-8.0 x 10^-6 C) x (+75 V)

Work = -6.0 x 10^-4 C ⋅ V

Therefore, the work needed to move the -8.0 μC charge from ground to a point with a potential of +75V is -6.0 x 10^-4 C⋅V.

To calculate the work needed to move a charge through a potential difference, you can use the formula:

Work = Charge x Potential Difference

In this case, the charge is given as -8.0 μC (microcoulombs) and the potential difference is +75 V.

1. Convert the charge value from microcoulombs to coulombs:
-8.0 μC = -8.0 x 10^(-6) C (since 1 μC = 10^(-6) C)

2. Substitute the values into the formula:
Work = (-8.0 x 10^(-6) C) x (+75 V)

3. Calculate the result:
Work = -6.0 x 10^(-4) C⋅V

The units for work are Coulomb-Volt (C-V). Note that because the charge is negative, the work will also be negative.

Work required = q * (change in V)

where q is the charge.

In this case the work is negative. The negative charge will be attracted to the positive potential point