One heater coil takes time `t_1` to heat a glass of water and another takes time `t_2` to heat the same amount of water. How much time will it take to heat the same amount of water when the two are connected in series and when the two are connected in parallel ? voltage applied is same in all cases.

Explanation

To solve the problem of how much time it will take to heat the same amount of water when two heater coils are connected in series and in parallel, we will follow these steps:

### Step 1: Understand the relationship between time, heat produced, and resistance
The heat produced by a heater can be expressed using the formula:
\[ H = \frac{V^2}{R} \cdot t \]
Where:
- \( H \) is the heat produced,
- \( V \) is the voltage,
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