what is the total average energy used by the monitor for a year? is the voltage

Question

what is the total average energy used by the monitor for a year? is the voltage equation for the above hair dryer? (Assume that the dryer acts as a pure resistor) 1350/lRu.315 11.) A computer monitor uses 1.5 Ams of current when it is plugged into a 120 Vrms monitor is never turned off. What is the yearly cost of operating the monitor if t electricity is $0. 14/kWh? he cost of UM130)( 1.5)(8760):16 880 Wh-1577.88 B) $81 C) $ 110 VzlaoV elech city chace 57758 E $ 220 time in hrs In ear cost-(51380.4)-a30.90 12.) What is the total average energy used by the monitor for a year? 10 Pts 45

Explanation / Answer

Given

I = 1.5 A , V = 120 V

V = V_mac sin Wt

I = V/R = (V_max/R) sin Wt

power P = V*I = (V_max^2/R) sin^2 Wt

the average value of sin^2 Wt = 1/2

we know that the voltage maximum is V_max = sqrt(2) * V_rms

the average power is P = V_max^2/(2*R) = 2*v_rms^2 /(2*R)  

energy = P*T = v_rms^2/R

P*T = v_rms^2*I = 120*1.5*24*365 = 1576800 Whr = 1576.800 kWh

the cost of 1 kWh = $0.14

so the cost of 1576.800 kWh is 0.14*1576.800 = $ 220.752

now the average enregy used is 1576.800 kWh

kWh is unit of energy

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