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1) You have an electric heater that works on the 120v voltage difference (which

ID: 1698891 • Letter: 1

Question

1) You have an electric heater that works on the 120v voltage difference (which is the rms value). An ammeter was used to measure the current that passes through the heater and it was found to be 12A.

a) what is the maximum value of the voltage difference across the heater's resistance?
b) What is the maximum current that passes through the heater?
c) What is the value of the internal resistance of the heater?
d)What is the average power dissipated in the heater's resistance?

2) Suppose that you close the switch at t=0;
10ohms 2H 5v
from the following, find

a) the maximum current in the circuit
b) The constant t
c) The current through the circuit at t=2t ( where t is the time constant in b above)

3) Find the frequency of oscillation (in Hz) for the circuit,
2H and 0.5uf



Explanation / Answer

Given that
Vrms = 120 V
current Irms = 12.0 A
--------------------------------------------------------------
a) The maximum value of the voltage difference is
Vmax =2 Vrms

         = 2 (120 V)

         = 169.7056 V

b) The maximum current that passes throught the resistor is

              Imax = 2 Irms

                       = 2 (12.0 A)

                       = 16.970 A

c) The internal resistance is

                  R = Vmax/Imax

                    = (169.7056 V)/(16.970 A)

                    = 10.0003 ohm

d) The average power dissipated in the heater's resistance is

                   P = Irms * Vrms

                    = (16.970 A) (169.7056 V)

                    = 2879.904032 W

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