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