In the given circuit the current I

Q: In the given circuit the current $I_1$ is .............. $A$

b (b) The circuit can be simplified as follows Applying $KCL$ at junction $A$ ${i_3} = {i_1} + {i_2}$.….$(i)$ Applying Kirchoff’s voltage law for the loop $ABCDA$ $ - 30{i_1} - 40{i_3} + 40 = 0$ $ \Rightarrow \,\,\,\,\,\, - 30{i_1} - 40({i_1} + {i_2}) + 40 = 0$ $ \Rightarrow \,\,\,\,\,\,\,7{i_1} + 4{i_2} = 4$ .….$(ii)$ Applying Kirchoff’s voltage law for the loop $ADEFA.$ $ - 40{i_2} - 40{i_3} + 80 + 40 = 0$ $ \Rightarrow \,\,\,\,\, - 40{i_2} - 40({i_1} + {i_2}) = - 120$ $ \Rightarrow \,\,\,\,\,\,{i_1} + 2{i_2} = 3\,$…….$(iii)$ On solving equation $(ii)$ and $(iii)$ ${i_1} = - 0.4\,A$.

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

In the given circuit the current $I_1$ is .............. $A$

A$0.4$
B$-0.4$
C$0.8$
D$-0.8$

Diffcult

STD 11 Science
NEET
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 figure shows a network of five resistances and two batteries Which of the batteries is getting charged.
View Solution
2
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
3
A $100\, W$ bulb $B_1$, and two $60\,W$ bulbs $B_2$ and $B_3$, are connected to a $250\, V$ source, as shown in the figure. Now $ W_1, W_2$ and $W_3$ are the output powers of the bulbs $B_1, B_2$ and $B_3$, respectively. Then
View Solution
4
A $d.c.$ main supply of $e.m.f.\, 220\, V$ is connected across a storage battery of $e.m.f.\, 200\, V$ through a resistance of $1\,\Omega $. The battery terminals are connected to an external resistance $'R'$ . The minimum value of $'R'$, so that a current passes through the battery to charge it is ............... $\Omega$
View Solution
5
In given circuit find potential difference between $P$ and $Q$ .................. $V$
View Solution
6
Carbon resistor has resistance specified by three bands having colour red, yellow and black. If this resistor is cut into two pieces of equal length then the new colour code of each one will be (Neglect tolerance of $4^{th}$ band)
View Solution
7
Two batteries of $e.m.f.$ $4\,V$ and $8 \,V$ with internal resistances $1\, \Omega$ and $2\,\Omega$ are connected in a circuit with a resistance of $9 \,\Omega$ as shown in figure. The current and potential difference between the points $P$ and $Q$ are
View Solution
8
The equivalent resistance between ends $A$ and $B$ is
View Solution
9
In the figure, current through the $3\,\Omega $ resistor is $0.8\, ampere$, then potential drop through $4\,\Omega $ resistor is ........... $V$
View Solution
10
The resistance of a wire is $R$. It is bent at the middle by $180^{\circ}$ and both the ends are twisted together to make a shorter wire. The resistance of the new wire is
View Solution

Download our appand get started for free

Similar Questions

Download our app
and get started for free