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inn [45]
3 years ago
7

One heater uses 490 W of power when connected by itself to a battery. Another heater uses 250 W of power when connected by itsel

f to the same battery. How much total power do the heaters use when they are both connected in series across the battery?
Physics
1 answer:
insens350 [35]3 years ago
6 0

Answer:

Power will be 166.66 watt when the heater are connected in series

Explanation:

We have given power of the first heater P_1 = 490 watt

And power of the second heater P_2 = 250 watt

We know that in series connection potential difference will be same

So let the potential difference is v

Power is given by P=\frac{V^2}{R}

So 490=\frac{V^2}{R_1}

R_1=\frac{V^2}{490}=0.0020V^2

Similarly R_2=\frac{V^2}{250}=0.04V^2

As resistances are connected in series so equivalent resistance R=R_1+R_2=0.0020V^2+0.04V^2=0.006V^2

So power P=\frac{V^2}{R}=\frac{V^2}{0.006V^2}=166.66Watt

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