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heating element in a stove is designed to dissipate 2530 W of heat when it is co

ID: 1872409 • Letter: H

Question

heating element in a stove is designed to dissipate 2530 W of heat when it is connected to 210 V. Assuming that the resistance is constant, calculate the current in this element if it is connected to 115 V (in A) A: 3.141 B: 4.55| C: 6.60| D: 9.57 E: 1.39x101| F: 2.01×101| G: 2.92x101| H: 4.23x10- Sutit Answer Tries 0/99 lculate the power the heating element dissipates at this voltage. (in W) C: 4.05x102| D: 4.74x102| E: 5.54x102| F: 6.48×102| G: 7.59×102| H: 8.88x102 A: 2.96x102| B: 3.46×102| Sutit Angwar Tries 0/99

Explanation / Answer

Given Data

Power, P = 2530 W

Voltage, V = 210 V

So Resistance R is obtained by

P = V*I = V^2 / R

=> R = V^2 / P

      = 210^2 / 2530

       = 17.43

a)

New Voltage, V' = 115 V

So required current, I = V' / R

                                = 115 / 17.43

                                = 6.59 A = 6.6 A

b) Required Power, P = V'*I

                              = 115*6.6

                              = 759 W = 7.59*10^2 W