In the adjoining circuit diagram each resistance is of 10 Omega. The current in the arm AD will be

Q: In the adjoining circuit diagram each resistance is of $10$ $\Omega$. The current in the arm $AD$ will be

a Applying Kirchoff's law in mesh $ABCDA$ $ - 10(i - {i_1}) - 10{i_2} + 20{i_1} = 0$ $\Rightarrow $ $\,3{i_1} - {i_2} = i$ ....... $(i)$ and in mesh $BEFCB$ $ - \,20\,(i - {i_1} - {i_2}) + \,10\,({i_1} + {i_2}) + 10{i_2} = 0$ $\Rightarrow $ $3{i_1} + 4{i_2} = 2i$ ...... $(ii)$ From equation $(i)$ and $(ii)$ ${i_1} = \frac{{2i}}{5},\,{i_2} = \frac{i}{5}$ $\Rightarrow $ ${i_{AD}} = \frac{{2i}}{5}$

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

In the adjoining circuit diagram each resistance is of $10$ $\Omega$. The current in the arm $AD$ will be

A$\frac{{2i}}{5}$
B$\frac{{3i}}{5}$
C$\frac{{4i}}{5}$
D$\frac{i}{5}$

Diffcult

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
Circuit for the measurement of resistance by potentiometer is shown. The galvanometer is first connected at point $A$ and zero deflection is observed at length $P J = 10\ cm$ . In second case it is connected at point $C$ and zero deflection is observed at a length $30\ cm$ from $P$ . Then the unknown resistance $X$ is
View Solution
2
The equivalent resistance of the arrangement of resistances shown in adjoining figure between the points $A$ and $B$ is ............... $ohm$
View Solution
3
A wire of length $100\, cm$ is connected to a cell of $emf$ $2\, V$ and negligible internal resistance. The resistance of the wire is $3\, \,\Omega$. The additional resistance required to produce a potential drop of $1$ milli volt per cm is ............... $\Omega $
View Solution
4
In the circuit shown, the current in the $1\,\Omega$ resistor is
View Solution
5
Two identical cells, when connected either in parallel or in series gives same current in an external resistance $5\,\Omega$. The internal resistance of each cell will be $.............\,\Omega$.
View Solution
6
The colour coding on a carbon resistor is shown in the given figure. The resistance value of the given resistor is:
View Solution
7
The current flowing in the given circuit is $0.1\,A$ . The potential difference between the points $X$ and $Y$ is ................ $\mathrm{V}$
View Solution
8
In the figure given, the electric current flowing through the $5\, k \Omega$ resistor is $'x' mA.$

The value of $x$ to the nearest integer is .........
View Solution
9
Find the current in the loop.
View Solution
10
In a building there are $15$ bulbs of $45\; \mathrm{W}, 15$ bulbs of $100\; \mathrm{W}, 15$ small fans of $10 \;\mathrm{W}$ and $2$ heaters of $1 \;\mathrm{kW}$. The voltage of electric main is $220\; \mathrm{V}$. The minimum fuse capacity (rated value) of the building will be: .......... $A$
View Solution

Download our appand get started for free

Similar Questions

Download our app
and get started for free