How much current flows through a circuit with a 5 Henries inductance connected to a 120 volt supply at 60 Hz?

How much current flows through a circuit with a 5 Henries inductance connected to a 120 volt supply at 60 Hz?

• A. 120 mA
• B. 63 mA
• C. 80 mA
• D. 100 mA

Answer: (B)

To determine the correct current flowing through the circuit, we use the relationship between inductance, voltage, frequency, and current in an inductive circuit. The formula that connects these variables is: \[ I = \frac{V}{Z} \] where \( I \) is the current, \( V \) is the voltage (120 volts in this case), and \( Z \) is the impedance of the inductor. The impedance \( Z \) of an inductor is calculated using the formula: \[ Z = 2 \pi f L \] where \( f \) is the frequency (60 Hz) and \( L \) is the inductance (5 Henries). First, we calculate the impedance: 1. Calculate \( 2 \pi f \): \( 2 \pi \times 60 \approx 376.99 \) radians per second. 2. Now substitute \( L \): \( Z = 376.99 \times 5 \approx 1884.95 \) ohms. Now that we have \( Z \), we can calculate the current: \[ I = \frac{V}{Z} \] \[ I = \frac{120}{1884.95

To determine the correct current flowing through the circuit, we use the relationship between inductance, voltage, frequency, and current in an inductive circuit. The formula that connects these variables is:

[ I = \frac{V}{Z} ]

where ( I ) is the current, ( V ) is the voltage (120 volts in this case), and ( Z ) is the impedance of the inductor.

The impedance ( Z ) of an inductor is calculated using the formula:

[ Z = 2 \pi f L ]

where ( f ) is the frequency (60 Hz) and ( L ) is the inductance (5 Henries).

First, we calculate the impedance:

1. Calculate ( 2 \pi f ):

( 2 \pi \times 60 \approx 376.99 ) radians per second.

2. Now substitute ( L ):

( Z = 376.99 \times 5 \approx 1884.95 ) ohms.

Now that we have ( Z ), we can calculate the current:

[ I = \frac{V}{Z} ]

[ I = \frac{120}{1884.95