JEE Main20248 Apr 2024Evening ShiftPhysicsCurrent ElectricityActual
A heater is designed to operate with a power of 1000 ~W in a 100 ~V line. It is connected in combination with a resistance of 10 and a resistance R , to a 100 ~V mains as shown in figure. For the heater to operate at 62.5 ~W , the value of R should be _____ .
Correct answer
0
Step-by-step solution
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 & i₁= 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