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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?

Respuesta :

Answer:

Part (i)

Z = 39.06 ohm

Part (ii)

R = 21.7 ohm

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

[tex]z = \frac{V_o}{i_o}[/tex]

now we will have

[tex]z = \frac{125}{3.20} = 39.06 ohm[/tex]

Part b)

Now we also know that

[tex]\frac{R}{z} = cos\theta[/tex]

[tex]\theta = 0.982 rad = 56.3 degree[/tex]

now we have

[tex]\frac{R}{39.06} = cos56.3[/tex]

[tex]R = 21.7 ohm[/tex]

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