A copper wire has a resistance of 3 Ω and carries a current of 4 A. What is the power loss in the wire due to heating?
48 W
To determine the power loss in the copper wire due to heating, we use the formula for electrical power dissipated as heat through a resistor. The formula is given by:
\(P = I^2 R\)
where:
- \(P\) is the power loss in watts (W).
- \(I\) is the current passing through the wire in amperes (A).
- \(R\) is the resistance of the wire in ohms (Ω).
From the question, we are given:
- Resistance \((R) = 3 \, \Omega\)
- Current \((I) = 4 \, \text{A}\)
Substituting these values into the formula, we get:
\(P = (4)^2 \times 3\)
Calculating further:
- \((4)^2 = 16\)
- Thus, \(P = 16 \times 3 = 48 \, \text{W}\)
Therefore, the power loss in the wire due to heating is 48 W.
The correct option is 48 W.
Similar Questions
Which property of a fuse wire ensures it melts quickly when excess current flows?
Where should an ammeter be connected in a circuit to measure current accurately?
Which type of current changes both magnitude and direction at definite intervals?
A magnetic core carries a magnetic flux of 0.02 Wb. If the cross-sectional area of the core is kept the same, which action will most directly increase the magnetic flux?
What value of inductor should be connected in parallel with a series combination of 4 H and 2 H so that the effective inductance of the circuit is 3 H?
What does the magnetic permeability of a material represent?
Two magnetic paths are made of the same material and have the same cross-sectional area. Path X has length 0.1 m, and Path Y has length 0.3 m. Which statement is correct about their reluctances?
What is the SI unit of magnetic flux?
Why is an ammeter always connected in series with the load while measuring current in a circuit?
A 2 kW electric heater operates for 45 minutes on its rated supply. How much electrical energy does it consume?
Important Questions from Basic Electricity
In a series lamp circuit, each bulb is rated for 2 V. Calculate the number of bulbs to be connected in series to run on a 110 V AC line.
For domestic wiring purposes, how are circuits connected?
If the potential difference across the ends of a conductor is halved, what happens to the current flowing through it?
1 kWh is equivalent to:
A choke has characteristics of______
