Four 100 Ω resistors are connected in parallel. The equivalent resistance of the parallel connection is:

Question

Question

This question was previously asked in

PGCIL Diploma Trainee EE Official Paper (Held on 17 Dec 2020)

Answer 1

Different Types of Connections are Series Connection and Parallel Connection.

Series Connection	Parallel Connection
Resistors are connected in such a way that the same current is passing across them.	Resistors are connected in such a way that potential difference is the same Across them.
Equivalent Resistance of n resistors connected in series is given as R = R1 + R2 + R3 .....Rn	Equivalent Resistance of n resistors Connected in Parallel is given as \(\frac{1}{R} = \frac{1}{R_{1}} +\frac{1}{R_{2}} + \frac{1}{R_{3}}.....+ \frac{1}{R_{n}}\)
Circuit Diagram:	Circuit Diagram:

Calculation:

Given, four 100 Ω resistors are connected in parallel.

The circuit can be drawn as,

F1 Nakshatra Anil 21-06.21 D5

Where, R = 100 Ω

From the above concept,

\(\frac{1}{R_{AB}}=\frac{1}{R}+\frac{1}{R}+\frac{1}{R}+\frac{1}{R}=\frac{4}{R}\)

∴ \(R_{AB}=\frac{R}{4}=\frac{100}{4}=25\ \Omega\)