Question
A circuit is built based on the circuit diagram shown.
A diagram of a closed circuit with a power source on the left labeled 60 V. There are 3 resistors in parallel, separate paths, connected to it labeled 40 Ohms, 50 Ohms and 30 Ohms.
What is the current in the 50 Ω resistor?
1.2 A
1.5 A
2.0 A
4.6 A
A diagram of a closed circuit with a power source on the left labeled 60 V. There are 3 resistors in parallel, separate paths, connected to it labeled 40 Ohms, 50 Ohms and 30 Ohms.
What is the current in the 50 Ω resistor?
1.2 A
1.5 A
2.0 A
4.6 A
Answers
GPT-4o mini
To determine the current flowing through the 50 Ω resistor in a parallel circuit, we first need to find the total voltage across the resistors and then apply Ohm's Law.
1. **Identify the Voltage:**
The voltage across each resistor in a parallel circuit is the same as the voltage of the power source. Thus, the voltage across the 50 Ω resistor (and the others) is 60 V.
2. **Use Ohm's Law:**
Ohm's Law states that \( V = I \times R \) or \( I = \frac{V}{R} \).
Here, \( V = 60 \, \text{V} \) and \( R = 50 \, \Omega \).
3. **Calculate the Current:**
\[
I = \frac{V}{R} = \frac{60 \, \text{V}}{50 \, \Omega} = 1.2 \, \text{A}
\]
Therefore, the current in the 50 Ω resistor is **1.2 A**.
1. **Identify the Voltage:**
The voltage across each resistor in a parallel circuit is the same as the voltage of the power source. Thus, the voltage across the 50 Ω resistor (and the others) is 60 V.
2. **Use Ohm's Law:**
Ohm's Law states that \( V = I \times R \) or \( I = \frac{V}{R} \).
Here, \( V = 60 \, \text{V} \) and \( R = 50 \, \Omega \).
3. **Calculate the Current:**
\[
I = \frac{V}{R} = \frac{60 \, \text{V}}{50 \, \Omega} = 1.2 \, \text{A}
\]
Therefore, the current in the 50 Ω resistor is **1.2 A**.