If a current of 3 A flows through a wire of resistance 8 ohms, calculate the potential difference applied across its ends.
Text Solution
AI Generated Solution
The correct Answer is:
To solve the problem of calculating the potential difference across a wire when a current flows through it, we can follow these steps:
### Step-by-Step Solution:
1. **Identify the Given Values:**
- Current (I) = 3 A (amperes)
- Resistance (R) = 8 Ω (ohms)
2. **Use Ohm's Law:**
- Ohm's Law states that the potential difference (V) across a conductor is directly proportional to the current (I) flowing through it and the resistance (R) of the conductor. The formula is:
\[
V = I \times R
\]
3. **Substitute the Given Values into the Formula:**
- Substitute I = 3 A and R = 8 Ω into the formula:
\[
V = 3 \, \text{A} \times 8 \, \Omega
\]
4. **Calculate the Potential Difference:**
- Perform the multiplication:
\[
V = 24 \, \text{V} \, (\text{volts})
\]
5. **State the Result:**
- The potential difference across the ends of the wire is 24 volts.
### Final Answer:
The potential difference applied across the ends of the wire is **24 volts**.
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To solve the problem of calculating the potential difference across a wire when a current flows through it, we can follow these steps:
### Step-by-Step Solution:
1. **Identify the Given Values:**
- Current (I) = 3 A (amperes)
- Resistance (R) = 8 Ω (ohms)
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