. Series Connection:

a. Calculate the total resistance of a series circuit with three resistors of 10Ω, 15Ω, and 20Ω connected in series.

The total resistance of a series circuit is calculated by summing up the resistance values of each component.

In this case, the total resistance (R_total) can be calculated by adding the individual resistances (R1, R2, and R3):

R_total = R1 + R2 + R3

R1 = 10Ω
R2 = 15Ω
R3 = 20Ω

Plugging in the values:

R_total = 10Ω + 15Ω + 20Ω
R_total = 45Ω

Therefore, the total resistance of the series circuit with three resistors of 10Ω, 15Ω, and 20Ω connected in series is 45Ω.

To calculate the total resistance of a series circuit, you simply add up the individual resistances. In this case, the three resistors are connected in series.

Total resistance (R_total) = R1 + R2 + R3

Given resistances:
R1 = 10Ω
R2 = 15Ω
R3 = 20Ω

Plugging in the values:

R_total = 10Ω + 15Ω + 20Ω

R_total = 45Ω

Therefore, the total resistance of the series circuit with resistors of 10Ω, 15Ω, and 20Ω is 45Ω.