Question

A geyser is rated $2000W$ and operates$2hours$ a day on $200V$ mains. Calculate the monthly bill for running the geyser when energy costs Rs $1.90$ per $kWh$.

Answer 1

Step 1: Calculation of the total energy consumed by the geyser:

Given that,

Power,$P=2000W$

Time,$t=2hrs$

Voltage,$V=200V$

Rate of energy costs per $kWh$ is $Rs1.90$

Step 2: Conversion of power in $kW$:

Convert the power of the geyser into $kW$

$P=2000\text{W}$

$=\frac{2000}{1000}$ (As $1W=1000kW$ )

$=2\text{kW}$

Step 3: Energy consumed per day:

$E=P\times t$

$\begin{array}{c}=2\times 2\\ =4\text{kWh}\\ \end{array}$

Step 4: Energy consumed per month:

Now calculate the energy consumed by the geyser per month.

$\begin{array}{c}\text{E}=4\times 30\\ =120\text{kWh}\\ \end{array}$

Step 5: Calculation of the monthly bill:

Cost of $120kWh$ electricity = $120\times 1.90$$=228$

The monthly bill is Rs. $228$

Thus, the monthly bill for running the geyser when energy costs Rs $1.90$per $kWh$ is Rs.$228$.