Question Detail

PHY 102 Last Minute Prep Objective Question

Question

A 200V battery charges a capacitor C. It is discharged through a coil in a block (specific heat 2.5×10² J kg⁻¹ K⁻¹, mass 0.1kg). Temperature rises by 0.4K. What is C?
Options
A 1.0×10^-4 F
B 1.0×10^5 F
C 2.5×10^6 F
D 5.0×10^-4 F
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

Energy stored = mcΔT = 0.1 × 250 × 0.4 = 10J. E = ½CV² => C = 2E/V² = 20/40000 = 5.0×10^-4 F.

Hint

Energy stored in capacitor = ½CV².

Question Info