Advertisements
Advertisements
Question
In the circuit shown in the figure below, E1 and E2 are two cells having emfs 2 V and 3 V respectively, and negligible internal resistance. Applying Kirchhoff’s laws of electrical networks, find the values of currents l1 and I2.
Advertisements
Solution
The distribution of current in the circuit is as shown in figure
Applying Kirchoff's laws (Loop law) to loop ABEFA
-2 (I1 + I2) - I1 × 1 + 2 = 0
2 - I1 - 2(I1 + I2) = 0
⇒ 2 - 3I1 - 2I2 = 0 .....(i)
Applying to loop BCDEB
-3 + 6I2 + 2(I1 + I2) = 0
⇒ 3 - 6I2 - 2I1 - 2I2 = 0
⇒ 3 - 8I2 - 2I1 = 0 ....(ii)
Solving equations (i) and (ii), we can write
I1 = `1/2`A , I2 = `1/4` A
APPEARS IN
RELATED QUESTIONS
Use Kirchhoff's rules to obtain conditions for the balance condition in a Wheatstone bridge.
Given the resistances of 1 Ω, 2 Ω, 3 Ω, how will be combine them to get an equivalent resistance of (11/5) Ω?
State Kirchhoff's rules for an electric network. Using Kirchhoff's rules, obtain the balance condition in terms of the resistances of four arms of Wheatstone bridge.
Find the equivalent resistances of the networks shown in the figure between the points a and b.
Solve the following question.
Using Kirchhoff’s rules, calculate the current through the 40 Ω and 20 Ω resistors in the following circuit.
State Kirchhoff’s current rule.
Lightning is a very good example of a natural current. In typical lightning, there is 109 J energy transfer across the potential difference of 5 × 107 V during a time interval of 0.2 s. Using this information, estimate the following quantities:
- the total amount of charge transferred between cloud and ground
- the current in the lightning bolt
- the power delivered in 0.2 s.
Assertion: Kirchhoff’s junction rule follows from conservation of charge.
Reason: Kirchhoff’s loop rule follows from conservation of momentum.
Kirchhoff s second law is based on the law of conservation of ______
Three resistors having resistances r1, r2 and r3 are connected as shown in the given circuit. The ratio `"i"_3/"i"_1` of currents in terms of resistances used in the circuit is :
