The power dissipated in the resistor R0 is 89 W when connected to a 10V source.

Question

                    The power dissipated in the resistor R0 is 89 W when connected to a 10V source. Find the total dissipated power if 3 resistors identical to R0 are connected in                     series to a 10V source. (UNIT:W)                 

                    
                    The power dissipated in the resistor R0 is 83 W when connected to a 10V source. Find the total dissipated power if 3 resistors identical to R0 are connected in                     parallel to a 10V source. (UNIT:W)

The power dissipated in the resistor is 80 W when connected to a 10V source. Find the total dissipated power when the same resistor is connected to a 5V source.(UNIT:W)

Explanation / Answer

Problem1:

Given Power dissipated in R0 = P =89W

Voltage acrooss R0, V= 10 V

Therefore, Resistance R0 = V^2 /P = 1.1236 Ohms

When the three resistors of same value R0 are connected in series, the equivalent resistance

Req = R0 + R0 + R0 = 3.37 Ohms

Voltage across the combination V = 10V

Therefore, Total Power dissipated P= V^2/ Req = 29.67 Watts

Problem 2:

Given Power dissipated in R0 = P =83W

Voltage acrooss R0, V= 10 V

Therefore, Resistance R0 = V^2 /P = 1.205 Ohms

When the three resistors of same value R0 are connected in parallel, the equivalent resistance

Req = R0 / 3 = 0.4016 Ohms

Voltage across the combination V = 10V

Therefore, Total Power dissipated P= V^2/ Req = 249 Watts

Problem 3:

Given Power dissipated in R0 = P =80W

Voltage acrooss R0, V= 10 V

Therefore, Resistance R0 = V^2 /P = 1.25 Ohms

Now, same resistor is connected across 5 V supply. => V' = 5V

Power dissipated now becomes P =(V')^2 / R = 20Watts

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