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Q6
(CDS-I/2023)
Science & Technology › Basic Science (Physics, Chemistry, Biology) › Electricity and magnetism
Answer Verified
Three resistors of resistances 11 Ω, 22 Ω and 33 Ω are connected in parallel. Their equivalent resistance is equal to
Result
Your answer:
—
·
Correct:
D
Explanation
To find the equivalent resistance (R) of resistors connected in parallel, the standard formula is the reciprocal of the sum of the reciprocals of individual resistances: 1/R = 1/R1 + 1/R2 + 1/R3. Given the resistances are 11 ̐, 22 ̐, and 33 ̐, the calculation is 1/R = 1/11 + 1/22 + 1/33. To solve this, find a common denominator, which is 66. Thus, 1/R = 6/66 + 3/66 + 2/66 = 11/66. Simplifying this gives 1/R = 1/6. Taking the reciprocal to find R, we get R = 6 ̐. This confirms that in a parallel circuit, the equivalent resistance is always smaller than the smallest individual resistor in the combination [1]. Therefore, the equivalent resistance is 6 ̐.
Sources
- [1] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > Activity 11.5 > p. 184
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