What is the equivalent resistance when n identical resistors, each of resistance R, are connected in series, compared to when they are connected in parallel? MCQ with Answer and Explanation

What is the equivalent resistance when n identical resistors, each of resistance R, are connected in series, compared to when they are connected in parallel?
A. Series resistance is n² times the parallel resistance.
B. Series resistance is equal to the parallel resistance.
C. Series resistance is n times the parallel resistance.
D. Parallel resistance is n² times the series resistance.
Answer: Option A
Solution (By JKExamLibrary)
When n resistors of resistance R are in series, Rs = nR. When connected in parallel, Rp = R/n. To find the ratio, Rs / Rp = (nR) / (R/n) = n². Therefore, the series resistance is n² times the equivalent parallel resistance. This is a highly frequent numerical shortcut for exams.

This question belongs to: Science Physics

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Physics Questions

Question #1 Report Error
The position-time graph of a particle is a parabola opening upwards. This indicates that the particle has:
A. Constant velocity
B. Decreasing acceleration
C. Increasing acceleration
D. Constant acceleration

Correct Answer: Option D


Explanation:
Position-time graph as parabola: x = x₀ + ut + ½at². This quadratic form indicates constant acceleration 'a'. If acceleration were changing, the graph would be cubic or higher order. Constant velocity would produce a straight line (linear graph). Upward opening parabola implies positive acceleration. Graph interpretation skill is essential: slope of x-t graph = velocity; curvature indicates acceleration. Memory tip: Parabolic x-t graph ⇔ constant acceleration; linear x-t graph ⇔ constant velocity. Competitive exams frequently test graph-concept correlations.

This question belongs to: Science Physics
Question #2 Report Error
A variable force F = (3x^2 + 2x) N acts on a particle. The work done by this force in moving the particle from x = 1 m to x = 2 m is:
A. 14 J
B. 10 J
C. 12 J
D. 16 J

Correct Answer: Option B


Explanation:
Work done by a variable force is the definite integral of F dx. W = Integral(3x^2 + 2x) dx from 1 to 2. W = [x^3 + x^2] evaluated from 1 to 2. Upper limit: (2^3 + 2^2) = 8 + 4 = 12. Lower limit: (1^3 + 1^2) = 1 + 1 = 2. Work = 12 - 2 = 10 Joules.

This question belongs to: Science Physics
Question #3 Report Error
The amount of heat required to convert 1 g of ice at 0°C to water at 0°C is called
A. Latent heat of fusion
B. Latent heat of vaporisation
C. Heat capacity
D. Specific heat

Correct Answer: Option A


Explanation:
Latent heat of fusion of ice = 80 cal/g = 336 J/g.

This question belongs to: Science Physics