The work done by an electric force in moving a charge from point A to point B is 2.76 10-3 J. The electric potential difference between the two points is VA − VB = 47.5 V. What is the charge
charge * (potential diffence) = (potential energy difference) = Work
charge = 2.76*10^-3 J/47.5 J/C
The answer will be in Coulombs.
Remember that 1 Volt = 1 Joule/Coulomb
To find the charge, we can use the formula:
Work done = Charge x Potential difference
Given that the work done is 2.76 x 10^-3 J and the potential difference is 47.5 V, we can rearrange the formula to solve for the charge:
Charge = Work done / Potential difference
Substituting the given values:
Charge = 2.76 x 10^-3 J / 47.5 V
Calculating this value:
Charge ≈ 5.8 x 10^-5 C
Therefore, the charge is approximately 5.8 x 10^-5 Coulombs.
To find the charge, we can use the formula for work done by an electric force:
Work = Charge × Electric Potential Difference
Given that the work done is 2.76 × 10^-3 J and the electric potential difference is 47.5 V, we can rearrange the formula to solve for the charge:
Charge = Work / Electric Potential Difference
Substituting the given values:
Charge = 2.76 × 10^-3 J / 47.5 V
Calculating this, we get:
Charge = 5.8 × 10^-5 C (Coulombs)
Therefore, the charge is 5.8 × 10^-5 Coulombs.