Advertisements
Advertisements
Question
ε1 and ε2 are two batteries having emf of 34V and 10V respectively and internal resistance of 1Ω and 2Ω respectively. They are connected as shown in the figure below. Using Kirchhoff’s Laws of electrical networks, calculate the currents I1 and I2.
Advertisements
Solution
By Kirchoff’s law of electrical networks consider closed loop ABEFA
`:. -4I_1 - 5(I_2 + I_2 ) - 7I_1 - I_1 + 34= 0`
`:. -4I_1 - 5I_1 - 5I_2 - 7I_1 - I_1 = -34`
`:. -17I_1 - 5I_2 = -34`
`:. 17I_1 + 5I_2 = 34` .....(1)
Consider closed loop BCDEB,
`4I_2 - 10 + 2I_2 + 7I_2 + 5(I_1 + I_2) = 0`
`:. 4I_2 + 2I_2 + 7I_2 + 5I_1 + 5I_2 = 10`
`18I_2 + 5I_1 = 10` ....(2)
Mutiply equation (1) by 5 and equation (2) by 17 and Substract
∴ `I_1 = 2A`
APPEARS IN
RELATED QUESTIONS
Determine the current in each branch of the network shown in figure.
Find the circuit in the three resistors shown in the figure.
Consider the potentiometer circuit as arranged in the figure. The potentiometer wire is 600 cm long. (a) At what distance from the point A should the jockey touch the wire to get zero deflection in the galvanometer? (b) If the jockey touches the wire at a distance of 560 cm from A, what will be the current in the galvanometer?
State Kirchhoff’s current rule.
State and explain Kirchhoff’s rules.
In a potentiometer arrangement, a cell of emf 1.25 V gives a balance point at 35 cm length of the wire. If the cell is replaced by another cell and the balance point shifts to 63 cm, what is the emf of the second cell?
The instrument for the accurate measurement of the e.m.f of a cell is ______.
Power P is to be delivered to a device via transmission cables having resistance RC. If V is the voltage across R and I the current through it, find the power wasted and how can it be reduced.
State the two Kirchhoff’s rules used in the analysis of electric circuits and explain them.
The figure below shows two batteries, E1 and E2, having emfs of 18V and 10V and internal resistances of 1 Ω and 2 Ω, respectively. W1, W2 and W3 are uniform metallic wires AC, FD and BE having resistances of 8 Ω, 6 Ω and 10 Ω respectively. B and E are midpoints of the wires W1 and W2. Using Kirchhoff's laws of electrical circuits, calculate the current flowing in the wire W3:
