In the circuit given E = 6.0 ,V, R_1 = 100, ohms, R_2 = R_3 = 50, ohms, R

Q: In the circuit given $E = 6.0 \,V, R_1 = 100\, ohms, R_2 = R_3 = 50\, ohms, R_4 = 75\, ohms$. The equivalent resistance of the circuit, in $ohms$, is

c (c) In given circuit three resistance ${R_2},{R_4}$ and ${R_3}$ are parallel. $\frac{1}{R} = \frac{1}{{{R_2}}} + \frac{1}{{{R_4}}} + \frac{1}{{{R_3}}}$ $ = \frac{1}{{50}} + \frac{1}{{50}} + \frac{1}{{75}}$ $ = \frac{{75 + 75 + 50}}{{50 \times 75}}$ $R = \frac{{50 \times 75}}{{75 + 75 + 50}} = \frac{{50 \times 75}}{{200}} = \frac{{75}}{4}\,\Omega = 18.75\,\Omega $ This resistance is in series with ${R_1}$ ${R_{{\rm{resultant}}}} = {R_1} + R = 100 + 18.75 = 118.75\,\Omega $

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

In the circuit given $E = 6.0 \,V, R_1 = 100\, ohms, R_2 = R_3 = 50\, ohms, R_4 = 75\, ohms$. The equivalent resistance of the circuit, in $ohms$, is

A$11.875$
B$26.31$
C$118.75$
D
None of these

Medium

STD 11 Science
JEE
STD 12 - 3. current electricity
Physics

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