Voltage and power

Question

Answer 1

(1)

Step 1:

Circuit current is .

Find the current using waveform given.

Observe the graph:

Two points in the interval are (0, 0) and (0.5, 2).

Two points in the interval are (0.5, 2) and (1, 0).

Find the current in .

Slope =

Point-Slope form of the equation is .

Slope = 4 and the point is (0, 0).

Current in is .

Step 2:

Similarlly for .

Slope = .

Slope = -4 and the point is (1, 0).

Current in is .

Voltage across the resistor is .

Resistance R = 2 ohms.

Voltage across the resistor in :

Voltage across the resistor in :

Therefore the voltage across the resistor is .

Solution :

The voltage across the resistor is .

Answer 2

(2)

From (1),

Current in is .

Current in  is .

Observe the circuit, H.

Find voltage across the inductor in .

.

Find voltage across the inductor in .

.

Voltage across the inductor is .

Answer 3

(3)

Voltage in the circuit is .

From the results of (1) and (2):

.

.

Find the total voltage of the circuit in .

.

Find the total voltage of the circuit in .

.

Total voltage of the circuit is .

Answer 4

(4)

From the results of (1) and (3):

Circuit current in is .

Circuit current in is .

.

Power dissipated in the circuit is P =V i .

Find the power dissipated in the circuit in .

.

Find the power dissipated in the circuit in .

Power dessipated in the circuit is .