For the network shown above, using the network reduction technique, R_eq = ________.

Question

Question

This question was previously asked in

MPPGCL JE Electrical 28 April 2023 Shift 1 Official Paper

Answer 1

Concept

The series equivalent of two resistances is given by:

R_eq = R₁ + R₂

The parallel equivalent of two resistances is given by:

\(R_{eq}={R_1R_2\over R_1+R_2}\)

Calculation

From the figure, 1 Ω and 5 Ω are in series.

R = 6 Ω

From the figure, 6 Ω and 3 Ω are in parallel.

\(R={6\times 3\over 6+3}=2\space Ω\)

qImage67cacad23bb1a16e361c5782

qImage67cacad33bb1a16e361c5783

4 Ω and 6 Ω are in parallel.

\(R={6\times 4\over 6+4}=2.4\space Ω\)

qImage67cacad33bb1a16e361c5784

R_eq = 4 + 8 + 2.4

Req = 14.4 Ω