An electrical cable having a resistance of 0.2 Ω delivers 10 kW at 200 V DC to a factory. What is the efficiency of transmission ?
65 %
75 %
85 %
95 %
A wire of resistance 5 Ω is drawn out so that its new length is 3 times its original length. What is the resistance of the new wire ?
45 Ω
15 Ω
5/3 Ω
5 Ω
Two identical cells each of emf E and internal resistance r are connected in parallel with an external resistance R. To get maximum power developed across R, the value of R is
R = r
R = 2r
An alternating current of rms value 10 A is passed through a 12 Ω resistor. The maximum potential difference across the resistor is
20 V
90 V
169.68 V
None of these
At a certain place, the horizontal component of earth's magnetic field is times the vertical component. The angle of dip at that place is
30°
60°
45°
90°
A.
30°
The current flowing through a wire depends on time as I = 3t2 + 2t + 5. The charge flowing through the cross-section of the wire in time from t = 0 to t = 2 s is
22 C
20 C
18 C
5 C
If the charge on a capacitor is increased by 2 coulomb, the energy stored in it increases by 21 %. The original charge on the capacitor is
10 C
20 C
30 C
40 C
Four capacitors of equal capacitance have an equivalent capacitance C1 when connected in series and an equivalent capacitance C2 when connected in parallel. The ratio is
1/4
1/16
1/8
1/12