Pradeep Paul, R Parthasarthy and, Basha Solutions for Chapter: Electricity, Exercise 10: MOCK TEST - 2

If two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then in parallel in a circuit across the same potential difference, then what would be the ratio of heat produced in series and in parallel combinations?

Derive an expression for the heat produced due to a current $I$ flowing for a time interval $t$ through resistor $R$ having a potential difference $V$ across its ends.

If a potential difference of $250 \mathrm{V}$ is applied across a resistance of $500 \mathrm{\Omega }$ in an electric heater, then how would you calculate the current and heat produced in joules in $10 \mathrm{s}$?

Two resistors of $8 \mathrm{\Omega }$ and $12$ $\mathrm{\Omega }$ are connected in parallel. The combination is connected across a $10 \mathrm{V}$ battery of negligible resistance. Calculate $\left(\mathrm{a}\right)$ the current through the battery, $\left(\mathrm{b}\right)$ the current through each resistor.

When two resistors $R_1$ and $R_2$ of $\text{10 }\mathrm{\Omega }$ are placed in parallel and in series, find the current flowing in them with the potential difference of $5 \mathrm{V}$.

Define one ohm.

What is critical temperature?

 Define superconductors.