Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
Kirchhoff's voltage law and current law are respectively in accordance with the conservation of .................................. .
- charge and momentum
- charge and energy
- energy and charge
- energy and momentum
Kirchhoff's junction law is equivalent to .............................
(a) conservation of energy.
(b) conservation of charge
(c) conservation of electric potential
(d) conservation of electric flux
Determine the current drawn from a 12 V supply with internal resistance 0.5 Ω by the infinite network shown in the figure. Each resistor has 1 Ω resistance.
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.
Twelve wires, each of equal resistance r, are joined to form a cube, as shown in the figure. Find the equivalent resistance between the diagonally-opposite points a and f.
A copper wire of 10-6 m2 area of cross-section, carries a current of 2 A. If the number of electrons per cubic meter is 8 × 1028, calculate the current density and average drift velocity.
The Kirchhoff's second law (ΣiR = ΣE), where the symbols have their usual meanings, is based on ______.
While measuring the length of the rod by vernier callipers, the reading on the main scale is 6.4 cm and the eight divisions on vernier is in line with marking on the main scale division. If the least count of callipers is 0.01 and zero error - 0.04 cm, the length of the rod is ______.
The circuit in figure shows two cells connected in opposition to each other. Cell E1 is of emf 6V and internal resistance 2Ω; the cell E2 is of emf 4V and internal resistance 8Ω. Find the potential difference between the points A and B.
The value of current in the 6Ω resistance is ______.
