In the following circuit, the current through the resistor $$R (= 2 \Omega)$$ is $$I$$ Amperes. The value of $$I$$ is
Due to balanced wheatstone bridge ABCEA $$BE=8\: \Omega$$ can be taken out.
$$R_{AC}= \dfrac{ (1 +2 ) ( 2 +4)} { (1 + 2 ) + ( 2 + 4)}=\dfrac{18}{9}= 2$$
Now, ACFGHA is a balanced Wheatstone bridge, hence $$HC =10\: \Omega$$ can be taken out.
$$R_{AG} = \dfrac{6 * 18}{6 + 18} = \dfrac{108}{24}= 4.5\: \Omega$$
$$R_{total} = 2 + 4.5 = 6.5$$
Hence, current $$i = \dfrac{V}{R_{total}}= \dfrac{ 6.5}{6.5} =1\: A$$
Four resistances of $$15\Omega, \, 12\Omega, \, 4\Omega$$ and $$10 \Omega$$ respectively in cyclic order to form Wheatstone's network. The resistance that is to be connected in parallel with the resistance of $$10\Omega$$ to balance the network is _______ $$\Omega$$.
In a Wheatstone bridge (see fig.), Resistances P and Q are approximately equal. When $$R = 400 \Omega$$, the bridge is equal. When $$R = 400 \Omega$$,the bridge is balanced. On inter-changing $$P$$ and $$Q$$, the value of $$R$$, for balance, is$$ 405\Omega$$. The value of X is close to :
The resistances of the four arms P, Q, R and S in a Wheatstone's bridge are 10 ohm, 30 ohm, 30 ohm and 90 ohm, respectively. The e.m.f. and internal resistance of the cell are 7 volt and 5 ohm respectively. If the galvanometer resistance is 50 ohm, the current drawn from the cell will be
For the resistance network shown in the figure, choose the correct option(s).
A circuit consisting of five resistors each of resistance R, forming a Wheatstone bridge. What is the equivalent resistance of the circuit?
In Wheatstone bridge, $$4$$ resistors $$P=10\Omega, Q=5\Omega, R=4\Omega, S=4\Omega$$ are connected in cyclic order. To ensure no current through galvanometer
Four resistance of $$10\Omega$$, $$60\Omega$$, $$100\Omega$$ and $$ 200\Omega$$ respectively taken in order are used to form a Wheatstone's bridge. A $$15 V$$ battery is connected to the ends of a $$200\Omega $$ resistance, the current through it will be
In the following network, the current flowing through $$15 ohm$$ resistance is
The current in $$1\Omega$$ resistor in the following circuit is?
The potentiometer wire $$A B$$ shown in figure is 40 cm long. Where should the free end of the galvanometer be connected on $$A B$$ so that the galvanometer may show zero deflection?