Physics Current Electricity DUHS 2022
PMDC Verified Question 70 of 112
Resistance of 5 \(\Omega\) and 10 \(\Omega\) are connected in parallel. If the P.D across 5 \(\Omega\) resistor is 20V then current through 10 \(\Omega\) resistor will be:
A
0.5 A
B
2 A
C
4 A
D
10 A
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: 2 A
Concept:

In a parallel circuit, the potential difference (voltage) across all branches is identical.

Formula:

$$ I = \frac{V}{R} $$

Solution:

  • Because the resistors are in parallel, the voltage across the 10 \(\Omega\) resistor is the exact same as the 5 \(\Omega\) resistor, which is 20V.


  • Apply Ohm's law to the 10 \(\Omega\) resistor: \( I = \frac{20 \text{ V}}{10 \, \Omega} \).


  • \( I = 2 \text{ A} \) (Option B).


Why other options are incorrect:

  • Opt A: Inverting the calculation \( 10/20 \).


  • Opt C: This is the current flowing through the 5 \(\Omega\) resistor (\(20/5 = 4\text{A}\)).


  • Opt D: Mathematical branch error.

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