Question

Calculate the output voltage of the Buck converter if the supply voltage is 13 V and duty cycle value is .16.

(a) 2.08 V

(b) 2.24 V

(c) 2.58 V

(d) 2.54 V

The question was asked in homework.

My query is from Solid-State Switching Circuits in section Introduction to Solid-State Switching Circuits of Electric Drives

Answer 1

To calculate the output voltage of a buck converter, we use the formula:

Vout=D×VinV_{out} = D \times V_{in}Vout​=D×Vin​

Where:

• VoutV_{out}Vout​ is the output voltage,
• $D$ is the duty cycle,
• VinV_{in}Vin​ is the input supply voltage.

Given:

• Vin=13 VV_{in} = 13 \, \text{V}Vin​=13V,
• $D=0.16$.

Substituting the values into the formula:

Vout=0.16×13 V=2.08 VV_{out} = 0.16 \times 13 \, \text{V} = 2.08 \, \text{V}Vout​=0.16×13V=2.08V

Thus, the output voltage is 2.08 V.

The correct answer is (a) 2.08 V.