What is the work done in moving a charge of 2 μC from a point at 50 V to another

Practice Questions

Q1
What is the work done in moving a charge of 2 μC from a point at 50 V to another at 100 V?
  1. 100 μJ
  2. 200 μJ
  3. 150 μJ
  4. 50 μJ

Questions & Step-by-Step Solutions

What is the work done in moving a charge of 2 μC from a point at 50 V to another at 100 V?
  • Step 1: Identify the charge being moved. In this case, it is 2 μC (microcoulombs). Convert this to coulombs: 2 μC = 2 × 10^-6 C.
  • Step 2: Identify the initial and final voltages. The initial voltage is 50 V and the final voltage is 100 V.
  • Step 3: Calculate the change in voltage (ΔV). This is done by subtracting the initial voltage from the final voltage: ΔV = 100 V - 50 V = 50 V.
  • Step 4: Use the formula for work done (W) in moving a charge in an electric field: W = q * ΔV, where q is the charge and ΔV is the change in voltage.
  • Step 5: Substitute the values into the formula: W = (2 × 10^-6 C) * (50 V).
  • Step 6: Calculate the work done: W = 2 × 10^-6 C * 50 V = 100 × 10^-6 J = 100 μJ.
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