Question

calculate energy and power consumed by 8 ohm resistor in one hour when 4 ohm and 6 ohm 8 ohm are connected - (1) in series (2) in parallel, across battery of 24 volt

Answer 1

Answer:

14.22 W

72 W

Explanation:

calculate energy and power consumed by 8 ohm resistor in one hour when 4 ohm and 6 ohm 8 ohm are connected - (1) in series (2) in parallel, across battery of 24 volt

When Connected in series

Total Resistance = 4 + 6 + 8 = 18 Ω

Voltage = 24 V

Current = 24/18 = 4/3  A

power consumed by 8 ohm resistor = I²R

=  (4/3)² * 8

= 128/9

= 14.22  W

When Connected in Parallel

Total Resistance = 1/(1/4 + 1/6 + 1/8)  =  24/(6 + 4 + 3)  = 24/13 Ω

Total Current = 24/(24/13) = 13 A

Current through 8  Ω resistor  = 24/8 = 3 A

power consumed by 8 ohm resistor = 3² * 8 = 72 W