In the circuit shown, the reading of the ammeter (ideal) is the same with both switches open as with both closed find the value of

Q: In the circuit shown, the reading of the ammeter (ideal) is the same with both switches open as with both closed find the value of resistance $R$ in $ohm$ . ................ $\Omega$

a $I=\frac{1.5}{450} \mathrm{\,A}$ $R_{a b}=\frac{R \times 100}{100+R}$ $\quad \mathrm{V}_{\mathrm{ab}}=\frac{1.5}{300+\mathrm{R}_{\mathrm{ab}}} \times \mathrm{R}_{\mathrm{ab}}$ $\mathrm{I}=\frac{\mathrm{V}_{\mathrm{ab}}}{100}=\frac{1.5}{300+\frac{\mathrm{R} \times 100}{100+\mathrm{R}}} \times \frac{100 \mathrm{R}}{100+\mathrm{R}} \times \frac{1}{100}$ $ = \frac{{1.5{\rm{R}}}}{{300 \times \left( {100 + {\rm{R}}} \right) + 100{\rm{R}}}}$ $\therefore = \frac{{1.5{\rm{R}}}}{{300 \times 100 + 300{\rm{R}} + 100 \times 100}} = \frac{{1.5{\rm{R}}}}{{100 + {\rm{R}}}}$ $\Rightarrow 50 \mathrm{R}=300 \times 100$ $\Rightarrow \mathrm{R}=600\, \Omega$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

In the circuit shown, the reading of the ammeter (ideal) is the same with both switches open as with both closed find the value of resistance $R$ in $ohm$ . ................ $\Omega$

A$600 $
B$800$
C$400$
D$300$

Diffcult

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

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