Physics Current Electricity ETEA 2016
PMDC Verified Question 100 of 112
A total charge of 100 C flows through a 12W bulb in a time of 50 second. What is the potential difference across the bulb during this time?
A
0.12V
B
2.0V
C
6.0V
D
24V
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: 6.0V
Concept:

To find voltage, we link power, current, and charge.

Formula:

$$ I = \frac{Q}{t} \quad \text{and} \quad P = VI $$

Solution:

  • First, find the current flowing: \( I = \frac{100 \text{ C}}{50 \text{ s}} = 2 \text{ A} \).


  • Next, use the power formula: \( V = \frac{P}{I} \).


  • Substitute the values: \( V = \frac{12 \text{ W}}{2 \text{ A}} = 6.0 \text{ V} \).


Why other options are incorrect:

  • Opt B: This is the value of the current (2A), not the voltage.


  • Opt D: This results from multiplying Power and Current (12 * 2), which mathematically gives \( P^2/V \), not \( V \).

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