The electric resistance of a particular wire of iron is \(R.\) If its length and radius are doubled, then:
1. | the resistance will be halved and the specific resistance will remain unchanged |
2. | the resistance will be halved and the specific resistance will be doubled |
3. | the resistance and the specific resistance will both remain unchanged |
4. | the resistance will be doubled and the specific resistance will be halved |
Resistances \(n,\) each of \(r~\text{ohm},\) when connected in parallel give an equivalent resistance of \(R~\text{ohm}.\) If these resistances were connected in series, the combination would have resistance in \(\text{ohms}\) equal to:
1. \(\dfrac{R}{n^2}\)
2. \(\dfrac{R}{n}\)
3. \(nR\)
4. \(n^2R\)
When a wire of uniform cross-section a, length l, and resistance R is bent into a complete circle, the resistance between any two diametrically opposite points will be:
1. R/2
2. R/4
3. R/8
4. 4R