Consider the network of four resistors shown in the diagram, where R1 = 4.20? ,

Question

Consider the network of four resistors shown in the diagram, where R1 = 4.20? , R2 = 6.90? , R3 = 1.20? , and R4 = 8.60? . The resistors are connected to a constant voltage of magnitude V.

A) Find the equivalent resistance Req of the resistor network.

B) Two resistors of resistance R5 = 4.70? and R6 = 3.80? are added to the network, and an additional resistor of resistance R7 = 4.40? is connected by a switch, as shown in the diagram. (Figure 2) Find the equivalent resistance R2eq of this second resistor network when the switch is open .

C)Find the equivalent resistance R3eq of this third resistor network described in Part B when the switch is closed .

Explanation / Answer

R2 & R1 are parallel

R12 = (R1*R2)/(R1+R2) = 2.6108

R12 , R3 R4 are inseries

Req = R12 + R3 + R4

Req = 12.4108 ohms

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B) R2eq = 12.4108 + 4.7 + 3.8 = 20.9108

C) R3eq = 12.4108 + 4.7 + 3.8 + 4.4 = 25.3108

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