Question
Electricity and Circuits Unit Test
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Question
What is the resistance of resistor R1?
A parallel circuit with a power source of 15 volts and a total current of 5 amps. The current is split through two resistors. Resistor 2 receives a current of 3 amps and resistor 1 receives an unknown current.
(1 point)
Responses
5.0 Ω
5.0 Ω
7.5 Ω
7.5 Ω
3.0 Ω
3.0 Ω
2.0 Ω
Answers
GPT 3.5
We can use Ohm's Law to find the resistance of resistor R1. Ohm's Law states that resistance (R) is equal to voltage (V) divided by current (I), or R = V/I.
In this case, the total current (I) of the circuit is 5 amps, and resistor 2 receives a current of 3 amps. So the remaining current for resistor 1 can be found by subtracting the current for resistor 2 from the total current: 5 amps - 3 amps = 2 amps.
The voltage (V) of the circuit is 15 volts.
Plugging in these values into Ohm's Law, we get:
R1 = V/I
R1 = 15 volts / 2 amps
R1 = 7.5 Ω
Therefore, the resistance of resistor R1 is 7.5 Ω.
In this case, the total current (I) of the circuit is 5 amps, and resistor 2 receives a current of 3 amps. So the remaining current for resistor 1 can be found by subtracting the current for resistor 2 from the total current: 5 amps - 3 amps = 2 amps.
The voltage (V) of the circuit is 15 volts.
Plugging in these values into Ohm's Law, we get:
R1 = V/I
R1 = 15 volts / 2 amps
R1 = 7.5 Ω
Therefore, the resistance of resistor R1 is 7.5 Ω.