Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
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.
Calculate the value of the resistance R in the circuit shown in the figure so that the current in the circuit is 0.2 A. What would b the potential difference between points A and B?
Consider the following two statements:-
(A) Kirchhoff's junction law follows from conservation of charge.
(B) Kirchhoff's loop law follows from conservative nature of electric field.
Consider the circuit shown in the figure. Find (a) the current in the circuit (b) the potential drop across the 5 Ω resistor (c) the potential drop across the 10 Ω resistor (d) Answer the parts (a), (b) and (c) with reference to the figure.
A potentiometer wire has a length of 4 m and resistance of 20 Ω. It is connected in series with resistance of 2980 Ω and a cell of emf 4 V. Calculate the potential along the wire.
What are the advantages of the null-point method in a Wheatstone bridge? What additional measurements would be required to calculate `R_(unknown)` by any other method?
What is the advantage of using thick metallic strips to join wires in a potentiometer?
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.
A 6-volt battery is connected to the terminals of a three-metre-long wire of uniform thickness and resistance of 100 ohms. The difference of potential between two points on the wire separated by a distance of 50 cm will be ______.
