Lesson 1: Understanding Resistance in DC Combination Circuits

Solve for parallel resistors R2,3,5,6,8,9 and R4. The values calculated for this question will be used for additional questions.

25 Ω

Solve for series resistors R3, R6, and R9. The values calculated for this question will be used for additional questions.

30 Ω

Solve for the equivalent resistance of R2,4 and R6. The values calculated for this question will be used for additional questions.

36 Ω

Solve for series resistors R2, R3,5,6,9 and R8. The values calculated for this question will be used for additional questions.

50 Ω

Solve for the total equivalent resistance in the circuit.

60 Ω

Solve for the parallel resistance of R2 and R4. The values calculated for this question will be used for additional questions.

9 Ω

Which circuit represents an equivalent circuit?

D.

Which resistor(s) are connected in parallel branches in this circuit?

R2 and R3

When it is difficult to recognize which parts of a circuit are series connected and which are parallel connected in a combination circuit, it is often necessary to ? the circuit.

Redraw

Any circuit in which the same current flows through all components is a(n) ? circuit.

Series

In reducing series-parallel circuits to the simplest form, the equivalent circuit is usually represented by one equivalent resistance (or resistor) that is connected in ? with the voltage source.

Series

A circuit in which some of the components are series connected, while other components are parallel connected, is called a(n) ? or combination circuit.

Series-Parallel

Solve for the parallel resistance of R1 and R3. The values calculated for this question will be used for additional questions.

10 Ω

Solve for series resistors R1, R2,3,4,5,6,8,9 and R7.

100 Ω

Calculate the total resistance. (Round the FINAL answer to two decimal places.)

12.1 Ω

Solve for parallel resistors R3,6,9 and R5. The values calculated for this question will be used for additional questions.

15 Ω

Solve for the equivalent resistance of R1,3 and R5. The values calculated for this question will be used for additional questions. (Round the FINAL answer to one decimal place.)

18.2 Ω

Assume the following values for resistors R1 through R4 (R1 = 20 Ω, R2 = 40 Ω, R3 = 60 Ω, R4 = 16 Ω). Solve to reduce only the parallel resistors in the circuit to their equivalent resistance.

24 Ω

How many parallel branch combinations are in this circuit?

2

Which resistors are in parallel with each other?

R1,R2 / R3,R4

Any circuit in which the current is split or follows two (or more) alternative paths is called a(n) ? circuit.

Parallel

Which resistor(s) in the circuit are connected in such a way that the total circuit current flows through those resistors?

R1 and R4

When determining if components in a circuit are in series or parallel with each other, you should ? .

Trace the current path(s)

When reducing a combination circuit to its simplest form, a person may need to ensure that all parallel resistors have been combined before a series portion is reduced. True or False?

True

When reducing a combination circuit to its simplest form, a person should redraw the complete circuit, exchanging the equivalent circuit for the original resistors to help visualize the next step after each equivalent circuit calculation has been performed. True or False?

True

When reducing a combination circuit to its simplest form, a person should reduce only one part at a time. True or False?

True

When reducing a combination circuit to its simplest form, combine parallel portions to a single resistor value. True or False?

True

When reducing a combination circuit to its simplest form, repeat combining equivalent resistors until all portions are reduced to one equivalent resistor. True or False?

True

When simplifying resistances in series and parallel, an equivalent resistance is substituted back into the circuit that represents the same value as all of the resistances that were combined. True or False?

True