In the circuit of figure, the power consumed in resistance R is measured when one source is acting at one time. These values are 18 W, 50 W and 98 W. When all source act together the maximum and minimum power can be
A:
98 W and 18 W
B:
166 W and 18 W
C:
450 W and 2 W
D:
166 W and 2 W
Answer:B
Let R = 1 Ω.
Then I1 = 32 A, I2 = 52 A and I3 = 72 A.
(I1 + I2 + I3)2 R = (152)2 R = 450 Ω.
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The frame of electric motor is connected to three plates having earthing resistance of 10 Ω, 20 Ω and 30 Ω respectively. The materials of the three plates are copper, aluminium and iron respectively. The percentage of energy dissipated by 10 Ω earthing plate
A:
is more than 50% of total energy
B:
is less than 50% of total energy
C:
depends on the materials of the three plates
D:
may be more or less than 50% of total energy
Answer:A
The parallel combination of 30 Ω and 20 Ω is 12 Ω. Since 12 Ω and 10 Ω are in parallel, the 10 ohm plate draws more than 50% current and dissipates more than 50% energy.
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In the circuit of figure the voltage across C at t = 0+ is
A:
0 V
B:
20 V
C:
very large
D:
7.5 V
Answer:A
Voltage across a capacitor cannot change instantaneously.
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In a purely inductive circuit, the current __________ the voltage by __________ .
A:
lags, 0°
B:
leads, 90°
C:
lags, 90°
D:
lags, 45°
Answer:C
In inductive circuit current lags the voltage by 90°.
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