A current of 5A is passing through a metalic wire of cross-sectional area 4 × 10-6 m2 . If the density of charge carriers of the wire is 5 × 1026 m-3, then the drift velocity of the electrons will be
1 × 102 m/s
1.56 × 10-2 m /s
1.56 × 10-3 m/s
1 × 10-2 m/s
Kirchhoff's law of junction, ΣI = 0, is based on
conservation of energy
conservation of charge
conservation of energy as well as charge
conservation of momentum
B.
conservation of charge
Kirchhoff's first law states that in an electric circuit, the algebraic sum of the currents meeting at any junction in the circuit is zero.
i.e Σ i = 0
Hence, according to Kirchhoff's law
i1 + i2 = i3 + i4 + i5
Thus, the sum of currents flowing towards the junction is equal to the sum of the currents flowing away from the junction. In other words, when a steady current flows in a circuit, then there is neither any accumulation of charge at any point in the circuit, nor any charge is removed from there.
Thus, Kirchhoff's first law expresses the conservation of charge.
A battery of emf 10 V and internal resistance of 0.5 ohm is connected across a variable resistance R. The maximum value of R is given by
0.5 Ω
1.00 Ω
2.0 Ω
0.25 Ω
The internal resistance of a primary cell is 42. It generates a current of 0.2 A in an external resistance of 21 n. The rate at which chemical energy to consumed in providing current is
1 J/s
5 J/s
0.42 J/s
0.8 J/s
At room temperature, copper has free electron density of 8.4 x 1028 m-3, The electron drift velocity in a copper conductor of cross-sectional area of 10-6 m2 and carrying a current of 5.4 A, will be
4 ms-1
0.4 ms-1
4 cm s-1
0.4 mm s-1
A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination. The effective resistance of the combination will be
R
4R
A 5 amp fuse wire can withstand a maximum power of 1 W in circuit. The resistance of the fuse wire is
0.2 Ω
5 Ω
0.4 Ω
0.04 Ω