Calculate the energy transferred by a 5 A current flowing through a resistor of 2 Ω for 30 minutes.

Given,
Current flowing, I = 5 A
Resistance of the resistor, R = 2 Ω
Time, t = 30 min = 1800 s 

Energy transferred = I2Rt
                             = (5)2 x 2 x 1800
                             = 9 x 104 J. 

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An electric refrigerator rated 400 W operates 8 hour/day. What is the cost of the energy to operate it for 30 days at Rs 3.00 per kWh?


Here, we have
 Power of the electric refrigerator, P = 400 W = 4001000  kW = 0.4 kWTime for which the refrigerator operates, t = 30 × 8 h = 240 h

 Energy consumed = P x t
                                = 0.4 kW x 240 h
                                = 96 kWh 

Cost of the energy to operate refrigerator at a rate of Rs 3.00 per kWh = 96 x 3.00 = Rs 288.00.

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An electric bulb is connected to a 220 V generator. The current is 0.50 A. What is the power of the bulb?


Here,  
Ptential of the generator, V = 220 V
Current flowing across the electric bulb, I = 0.50 A
Therefore,
Power of bulb, P = VI
                         =  220 V x 0.50 A
                         = 110 W. 

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100 J of heat are produced each second in a 4 Ω resistance. Find the potential difference across the resistor.


Here,
Heat produced, H = 100 J
Resistance, R = 4 Ω
Time taken, t = 1 s
Potential difference, V = ? 

Using the formula for heat produces,
                H= I2
Rt 

 Current,   I = HRt = 1004 × 1  = 5 A 

Now, potential difference across the resistor is, V = IR
                                                                          = 5 A x 4 Ω
                                                                          = 20 V. Ans.


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A current of 4 A flows through a 12 V car head light bulb for 10 minutes. How much energy transfer occurs during this time?

Here,
Current flowing through the bulb, I = 4 A
Voltage, V = 12 V
Time, t = 10 min = 600 s 

Energy transferred = Vlt
                             = 12 x 4 x 600
                             = 28800 J 

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