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Two metallic wires of the same material and same length have different diameters. If we connect them in series across a battery, the heat produced is H1, If we connect them in parallel to the same battery, the heat produced during the same time is H2. From the above, we infer that

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Important Questions on Current Electricity

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A heater coil is cut into two equal parts and only one part is used for heating. The heat generated will now be
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An electric bulb is marked 220 V, 100 W. When it is connected across 110 V, its power is:

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A circuit has a resistance of 12 and an impedance of 15 . The power factor of the circuit will be
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Two resistors of resistance, 100 Ω and 200 Ω are connected in parallel in an electrical circuit. The ratio of the thermal energy developed in 100 Ω to that in 200 Ω in a given time is
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Two electric bulbs rated P1 watt, V volts and P2 watt, V volts are connected in parallel and V volts are applied to it. The total power will be :-
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n identical bulbs, each designed to draw a power P from a supply, are joined in series across the same supply. The total power which they draw is
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An electric bulb is rated 220 volt, 100 watt. Power consumed by it when operated on 110 volt is 
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ADC source with internal resistance R0 is connected to circuit as shown in the figure. The value of R for which the power generated in the circuit is the maximum is

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A resistor develops 500 J of thermal energy in 20 s when a current of 1.5 A is passed through it. If the current is increased from 1.5 A to 3 A, what will be the energy developed in 20 s.
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An electric bulb is rated 220 V and 100 W. What is the power consumed by it when operated on 110 V?
HARD
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In the circuit shown, the resistance r is a variable resistance. If for r=fR , the heat generation in r is maximum then the value of f is
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If the current through a resistor in a circuit increases by 3%, the power dissipated by the resistor
HARD
The resistance of an electrical toaster has a temperature dependence given by RT=R01+αT-T0 in its range of operation. At T0=300 K, R=100 Ω and at T=500 K, R=120 Ω. The toaster is connected to a voltage source at 200 V and its temperature is raised at a constant rate from 300 to 500 K in 30 s. The total work done in raising the temperature is :

Note: This question was awarded as the bonus since all options were incorrect in the exam. 
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For safety, the fuse wire used in the mains for household supply of electricity must be made of metal having
HARD
Heater of an electric kettle is made of a wire of length L and diameter d. It takes 4 minutes to raise the temperature of 0.5kg water by 40 K. This heater is replaced by a new heater having two wires of the same material, each of length L and diameter 2d. The way these wires are connected is given in the options. How much time in minutes will it take to raise the temperature of the same amount of water by 40 K?
MEDIUM
The resistor R1=3 Ω andR2=1 Ω are connected in parallel to a 20 V battery. Find the heat developed in the resistor R1 in one minute
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The energy dissipated by a resistor is 10 mJ in 1 s, when an electric current of 2 mA flows through it. The resistance is ________Ω. (Round off to the Nearest Integer)
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A light bull is rated at 110 W for a 220 V supply. The resistance of the bulb is
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In which of the following devices, the eddy current effect is not used?
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The charge flowing through a resistance R varies with time t as Q=at-bt2 where a and b are positive constants. The total heat produced in R is: