True or False (#1-23) No explanation needed () Our household electricity is AC (

Question

True or False (#1-23) No explanation needed

() Our household electricity is AC (Alternating Current) instead of (Direct Current). AC circuits use an alternating voltage which can change between positive and negative values. () A typical AC voltage is the amplitude times a Sine-or-Cosine function of time. And the amplitude is the maximum voltage. () The angular frequency is 2 pi times frequency. And the period is 2 n over the angular frequency. () The commercial power plants in the USA use a frequency of 60Hz, which corresponds to an angular frequency of 377 rad/s and a period of 1/377 second. () When an AC voltage is applied to a resistor, the current is always equal to the maximum voltage over the resistance. () When an AC voltage is applied to a resistor, the current at any time is exactly equal to the instantaneous voltage over the resistance. () When an AC voltage is applied to a resistor, the current and the voltage vary together as a function of time and they are in phase, meaning that they reach the maximum, minimum and zero values and flip directions at the same time. () When an AC voltage is applied to a resistor, the current and the voltage vary together as a function of time and they are in phase, meaning that they reach the maximum, minimum and zero values and flip directions at the same time. () With the AC power source, the power consumed by a resistor is constant. () The average value of sin(omega t) during each period is zero. The average value of (sin(omega t))^2 during each period is also zero. () The average value of sin(omega t) during each period is zero. The average value of (sin(omega t))^2 during each period is also 1/2. () With the AC power source, the power consumed by a resistor is also changing as a function of time. p=i^2 R = Delta v^2_max/R is alternating as a function of the maximum power times (sin(omega t))^2. Its average value during each period is half of the maximum power. () The maximum power a resistor consumes in an AC circuit is the equal to i^2 R = Delta v^2_max/R. () The average power a resistor consumes in an AC circuit is the equal to i^2 R = Delta v^2_max/R. () The average power a resistor consumes in an AC circuit is the equal to i^2 R = Delta v^2_max/R. () The root mean square (rms) average of the AC current is equal to i_max/2. The root mean square (rms) average of the AC voltage is equal to Delta v_max/2. () The root mean square (rms) average of the AC current is equal to i_max/squareroot (2). The root mean square (rms) average of the AC voltage is equal to Delta v_max/squareroot (2). They are about 0.707 times of the maximum value. () The average power a resistor consumes in an AC circuit is the equal to i^2 R = Delta v^2_max/R. () The average power a resistor consumes in an AC circuit is the equal to i^2 R = Delta v^2_max/2R. () When we say that our AC power supply in the city is 120 volt, we mean that the amplitude voltage is 120 volt and the rms voltage is 120/squareroot (2)= 120*0.707= 84.8volt. A1000 ohm bulb we use in the room will consume 84.82/1000 watt of power. () When we say that our AC power supply in the city is 120 volt, we mean that the rms voltage is 120 volt and the amplitude voltage is 120* squareroot (2)= 120* 1.414=170 volt. A 1000 ohm bulb we use in the room will consume 1202/1000 watt of power. () When we say that our AC power supply in the city is 120 volt, we mean that the rms voltage is 120 volt and the amplitude voltage is 120* squareroot (2)= 120* 1.414=170 volt. A 1000 ohm bulb we use in the room will consume 170^2/1000 watt of power.

Explanation / Answer

1)True

2)True

3)True

w = 2 p f

t = 1/f = 2 pi/w

4)False

w = 2 pi f = 377

t = 1/f = 1/60

5)False

I = V/R (V keep changing wrt sin)

6)True

7)True

8)True

9)False

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