A heating coil is immersed in a calorimeter of heat capacity `50 J^@ C^(-1)` containing 1.0 kg of a liquid of specific heat capacity 450 J `kg^(-1) ""^@ C^(-1)`. The temperature of liquid rises by `10^@ `C when 2:0 A current is passed for 10 minutes. Find : (i) the resistance of the coil, (ii) the potential difference across the coil. State the assumption used in your calculations.

Explanation

To solve the problem step by step, we will break it down into parts as requested.

### Given Data:
- Heat capacity of calorimeter, \( C = 50 \, \text{J/°C} \)
- Mass of liquid, \( m = 1.0 \, \text{kg} \)
- Specific heat capacity of liquid, \( c = 450 \, \text{J/(kg·°C)} \)
- Temperature rise, \( \Delta T = 10 \, \text{°C} \)
- Current, \( I = 2.0 \, \text{A} \)
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