The work done to move a charge across a potential difference is given by the equation:
W = qV
where W is the work done (in Joules), q is the charge (in Coulombs), and V is the potential difference (in Volts).
In this case, the charge q is -4 x 10^-6 C (since it is negative), and the potential difference V is +270 V. Substituting these values into the equation gives:
W = (-4 x 10^-6 C) x (+270 V)
W = -1.08 x 10^-3 J
Note that the negative sign indicates that the work done is negative, which means that the direction of the work done is opposite to the direction of the electric field. So the correct answer is 0.108 J (option B), which is the magnitude of the work done.
Answers & Comments
Answer:
0.108 J
Explanation:
The work done to move a charge across a potential difference is given by the equation:
W = qV
where W is the work done (in Joules), q is the charge (in Coulombs), and V is the potential difference (in Volts).
In this case, the charge q is -4 x 10^-6 C (since it is negative), and the potential difference V is +270 V. Substituting these values into the equation gives:
W = (-4 x 10^-6 C) x (+270 V)
W = -1.08 x 10^-3 J
Note that the negative sign indicates that the work done is negative, which means that the direction of the work done is opposite to the direction of the electric field. So the correct answer is 0.108 J (option B), which is the magnitude of the work done.