Question

Calculate the effective resistance between points (i) C and D, and (ii) A and B
shown in given Fig. 1.42.

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Answer 1

R4 , R3 AND R2 ARE IN SERIES , THEIR EQUIVALENT RESISTANCE IS IN PARALLEL WITH R5 RESISTOR WHICH IS FURTHER IN SERIES WITH TEST OF THE RESISTORS .

THEREFORE

EQUIVALENT RESISTANCE = 45/4 ohms

Answer 2

RESISTANCE IN C AND D

SO

1/Rp = 1/R3 + 1/R5

1/Rp = 1/3 + 1/3

1/Rp = 2/3

Rp = 3/2 ohms ------------- eq 1

now

1/Rs = 1/R2 + 1/R4

1/Rs = 1/3 + 1/3

Rs = 3/2 ohms ------------- eq 2

by series law in eq 1 and eq 2

we get

Rq = Rp + Rs

Rq = 3/2 + 3/2

Rq = 6/2 = 3 OHMS --------- eq 3

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NOW BETWEEN A AND B

1/Ro = 1/R1 + 1/R6

1/ Ro = 1/3 + 1/3

Ro = 3/2 ohms -------------eq 4

now

total resistance = Ro + Rq

total resistance = 3 + 3/2

total resistance = 9/2

Total resistance = 4.5 ohms

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