Current Electricity 5 Question 5

5. A resistance is shown in the figure. Its value and tolerance are given respectively by

(2019 Main, 9 April I)

(a) 270Ω,5

(b) 27kΩ,20

(c) 27kΩ,10

(d) 270kΩ,10

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Solution:

  1. The value of a carbon resistor is given as,

R=AB×C±D

where, colour band A and B (first two colours) indicate the first two significant figures of resistance in ohms, C (third color) indicates the decimal multiplier and D (forth colour) indicates the tolerance in as per the indicated value.

The table for colour code of carbon resistor is given below,

Colour
Codes
Values
(A,B)
Multiplier (C) Tolerance
(D)()
Black 0 100
Brown 1 101
Red 2 102
Orange 3 103
Yellow 4 104
Green 5 105
Blue 6 106
Violet 7 107
Grey 8 108
White 9 109
Gold ±5
Silver ±20
No colour

Comparing the colors given in the question and the table and writing in the manner of

Eq. (i), we get

R=27×103Ω,±10=27kΩ,±10



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