Energy dissipated equals charge times potential difference

Steps:

• Recall that energy dissipated by a resistor is the work done on charges, given by E = V × Q.
• Identify quantities in choices that match this formula directly.
• Eliminate options needing additional variables like time t.
• Confirm B provides V and Q without extras.

Why B is correct:

• E = V Q from the definition of electrical work, where potential difference V drives total charge Q through the resistor.

Why the others are wrong:

• A: R and I give power P = I²R, but energy requires multiplying by time t.
• C: Q and R yield E = (Q² R)/t via I = Q/t and V = IR, but time t is needed.
• D: "Total current" likely means I, and with R gives P = I²R, but energy needs t.

Final answer: B