An alternating current e(t)=120sin(12t) has been running through a simple circuit for a long time. the circuit has an inductance of l=0.37 henrys, a resistor of r=7ohms and a capacitor of capcitance c=0.037 farads. what is the amplitude of the current i?

14.488 amperes

Step-by-step explanation:

The amplitude I of the current is given by

where

= amplitude of the energy source E(t).

Z = Total impedance.

The amplitude of the energy source is 120, the maximum value of E(t)  

The total impedance is given by

where

R= Resistance

L = Inductance

C = Capacitance

w = Angular frequency

= inductive reactance

= capacitive reactance

As E(t) = 120sin(12t), the angular frequency w=12

So

and

Finally

europa2433

europa2433

step-by-step explanation:

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