Question

In the current in a circuit is 3 + 12 amps and the resistance is 4 - j3 ohms, what is the voltage?

a) 18 + j volts
b) 18 - j volts
c) 6 + j volts
d) 6 - j volts

Answer 1

The voltage in the circuit can be found using Ohm's Law and complex number multiplication.

Step-by-step explanation:

To find the voltage in the circuit, we can use Ohm's Law which states that voltage (V) is equal to the product of current (I) and resistance (R). In this case, the current is given as 3 + 12 amps and the resistance is 4 - j3 ohms. To multiply complex numbers, we can multiply the magnitudes and add the angles. So, the voltage is (3 + 12)*(4 - j3) = 18 + j.

Therefore, the correct answer is a) 18 + j volts.