A 48-volt direct current source is required to furnish 192 watts to a parallel circuit consisting of three resistors of equal value. What is the value of each resistor?
- 12 ohm.
- 36 ohm.
- 4 ohm.
Explanation
The total resistance is R = V squared / P = 48 squared / 192 = 2304/192 = 12 ohms. Three equal resistors in parallel give one-third of a single resistor's value, so each must be 3 x 12 = 36 ohms to make a 12-ohm parallel total.
gav_18s asking:
How do you work this out?
Community Comments (1)
S
squareroot Posts: 8 17.05.2016 / 16:29
give Voltage=48v, Power=192W
so total Current.= power÷voltage
= 192÷48
= 4 A
total resistance = Voltage÷Current
= 48÷4
= 12 ohms
circuit have 3 equal parallel resistor
then each resistor have value = 12×3
= 36 ohms
so total Current.= power÷voltage
= 192÷48
= 4 A
total resistance = Voltage÷Current
= 48÷4
= 12 ohms
circuit have 3 equal parallel resistor
then each resistor have value = 12×3
= 36 ohms
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