Question

For a certain RLC circuit the maximum generator EMF is 125 V and the maximum current is 3.20 A. If le a) the impedance of the circuit? the current leads the generator EMF by 0.982 radians, what are IT 3 20 the resistance value of the resistor, R?

Answer 1

Part (i)

Z = 39.06 ohm

Part (ii)

R = 21.7 ohm

Step-by-step explanation:

a) here we know that

maximum value of EMF = 125 V

maximum value of current = 3.20 A

now by ohm's law we can find the impedence as

`z = (V_o)/(i_o)`

now we will have

`z = (125)/(3.20) = 39.06 ohm`

Part b)

Now we also know that

`(R)/(z) = cos\theta`

`\theta = 0.982 rad = 56.3 degree`

now we have

`(R)/(39.06) = cos56.3`

`R = 21.7 ohm`