A heater is designed to operate with a power of $1000 \mathrm{~W}$ in a $100 \mathrm{~V}$ line. It is connected in combination with a resistance of $10 \Omega$ and a resistance $R$ , to a $100 \mathrm{~V}$ mains as shown in figure. For the heater to operate at $62.5 \mathrm{~W}$ , the value of $\mathrm{R}$ should be _____ $\Omega$ .

Question

A heater is designed to operate with a power of

1000 \mathrm{~W}

in a

100 \mathrm{~V}

line. It is connected in combination with a resistance of

10 \Omega

and a resistance

R

, to a

100 \mathrm{~V}

mains as shown in figure. For the heater to operate at

62.5 \mathrm{~W}

, the value of

\mathrm{R}

should be _____

\Omega

.

A heater is designed to operate with a power of 1000 ~W in a 100 ~V line. It is connected in combination with a

Quantrex Academy · Accepted Answer

Correct answer: 0

R_ heater = V^2 P =((100)^2)/(1000)=10 For heater P=(V^2)/(R) V= P R aligned & V= 62.5 × 10 & V=25 v aligned aligned & i_1=(75)/(10)=7.5 A, i_ H =(25)/(10)=2.5 A . & i_ R =i_1-i_ H =5 & V=IR & R=(25)/(5)=5 aligned

A heater is designed to operate with a power of 1000 ~W in a 100 ~V...

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