Two circuits (shown below) are called ‘Circuit A ’and ‘Circuit B’. The equivalent resistance of ‘Circuit a’ is x and that of ‘Circuit B’ is

Q: Two circuits (shown below) are called ‘Circuit $A$ ’and ‘Circuit $B$’. The equivalent resistance of ‘Circuit $a$’ is $x$ and that of ‘Circuit $B$’ is $y$ between $1$ and $2.$

d Circuit $A:$ $x=\frac{R(2 R+x)}{3 R+x}$ or $3 R x+x^{2}=2 R^{2}+R x$ or $x^{2}+2 R x-2 R^{2}=0$ or $x=\frac{-2 R+\sqrt{4 R^{2}+8 R^{2}}}{2}$ or $x=-\frac{2 R+2 \sqrt{3 R}}{2}=(\sqrt{3}-1) R$ Circuit $B:$ $y=\frac{y R}{y+R}+2 R$ or $y^{2}+R y=y R+2 R y+2 R^{2}$ or $y^{2}-2 Y R-2 R^{2}=0$ or $y=(\sqrt{3}+1) R$

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

Two circuits (shown below) are called ‘Circuit $A$ ’and ‘Circuit $B$’. The equivalent resistance of ‘Circuit $a$’ is $x$ and that of ‘Circuit $B$’ is $y$ between $1$ and $2.$

A$y > x$
B$y = ( \sqrt 3 + 1) R$
C$x y = 2R^2$
D
All of the above

Advanced

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

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Download App

Similar Questions

1
The temperature coefficient of resistance of tungsten is $4.5 \times 10^{-3}{ }^{\circ} C ^{-1}$ and that of germanium is $-5 \times 10^{-2}{ }^{\circ} C ^{-1}$. A tungsten wire of resistance $100 \,\Omega$ is connected in series with a germanium wire of resistance $R$. The value of $R$ for which the resistance of combination does not change with temperature is .......... $\Omega$
View Solution
2
he power dissipated in the circuit shown in the figure is $30\,W$. The value of $R$ is ............. $\Omega$
View Solution
3
Effective resistance between points $A$ and $B$ for following network is (each branch of resistance is $R$)
View Solution
4
In the circuit shown, the resistances are given in ohms and the battery is assumed ideal with $\mathrm{emf}$ equal to $3.0$ $\mathrm{volts}.$ The resistor that dissipates the most power is
View Solution
5
A $25\, watt$, $220\, volt$ bulb and a $100\, watt$, $220\, volt$ bulb are connected in series across a $220\, volt$ lines. Which electric bulb will glow more brightly
View Solution
6
To verify Ohm's law, a student connects the voltmeter across the battery as, shown in the figure. The measured voltage is plotted as a function of the current, and the following graph is obtained If $V_0$ is almost zero, identify the correct statement
View Solution
7
A current $I$ flows through a uniform wire of diameter $d,$ when the mean drift velocity is $v_d.$ The same current will flow through a wire of diameter $d/2$ made of the same material, if the mean drift velocity of the electrons is
View Solution
8
A bulb has specification of one kilowatt and $250\, volts$, the resistance of bulb is .................. $\Omega$
View Solution
9
In the circuit shown in figure reading of voltmeter is $V_1$ when only $S_1$ is closed, reading of voltmeter is $V_2$ when only $S_2$ is closed. The reading of voltmeter is $V_3$ when both $S_1$ and $S_2$ are closed then
View Solution
10
A potentiometer wire is $100\,\, cm$ long and a constant potential difference is maintained across it. Two cells are connected in series first to support one another and then in opposite direction. The balance points are obtained at $50\,\, cm$ and $10\,\, cm$ from the positive end of the wire in the two cases. The ratio of emf's is
View Solution

Download our appand get started for free

Similar Questions

Download our app
and get started for free