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Question: A resistance of \(600\,\,\Omega \) has the colour code given by 3 steps. The colour of strips (from ...

A resistance of 600Ω600\,\,\Omega has the colour code given by 3 steps. The colour of strips (from left to right) is given by
(A) blue, black and brown
(B) blue, brown and black
(C) brown, blue and black
(D) brown, black and blue

Explanation

Solution

Hint : Resistors are generally very small and it is hard to imprint resistance values on them. So, colour bands are imprinted on them to represent the electrical resistance. These colour bands are known as resistor colour code.

Complete step by step solution:
A carbon-fabricated resistor can have up to 4th{4^{th}}to 6th{6^{th}} bands. A 5th{5^{th}} band resistor is a lot accurate when referred to a 4th{4^{th}} band type, due to the reason of the addition of a third remarkable digit. A 6th{6^{th}} band resistor is similar to a 5th{5^{th}} band resistor, but it incorporates a temperature coefficient band.
Each colour in the resistor constitute a number if it's location from the 1st{1^{st}} to 2nd{2^{nd}} band for a 4th{4^{th}} band type or 1st{1^{st}} to 3rd{3^{rd}} band for a 5th{5^{th}} band and 6th{6^{th}} band type.

ColourValue
Black00
Brown11
Red22
Orange33
Yellow44
Green55
Blue66
Violet77
Grey88
White99

Memory aid were formed to easily remember the order of the colours. The most popular memory aid is that the “Big Boys Race Our Young Girls but Violet Generally Wins" in which the first letter of each word correlate to the first letter of the colour. If the colour is found on the 3rd{3^{rd}} band for a 4th{4^{th}} band type or the 4th{4^{th}} band for a 5th{5^{th}} band and 6th{6^{th}} band type, then it is a multiplier.

ColourValue
Black×1 \times 1
Brown×10 \times 10
Red×100 \times 100
Orange×1000 \times 1000
Yellow×10000 \times 10000
Green×100000 \times 100000
Blue×1000000 \times 1000000
Violet×10000000 \times 10000000
Grey×100000000 \times 100000000
White×100000000 \times 100000000

We know that the number of zeroes is the same to the colour’s number as per the previous table.
The fourth band indicates the tolerance values. Here, two colours are added (gold and silver).

ColourValue
Black-
Brown±1%\pm 1\%
Red±2%\pm 2\%
Orange±3%\pm 3\%
Yellow±4%\pm 4\%
Green±5%\pm 5\%
Blue±0.25%\pm 0.25\%
Violet±0.1%\pm 0.1\%
Grey±0.5%\pm 0.5\%
White-
Gold±5%\pm 5\%
Silver±4%\pm 4\%

By using the above three tables we can calculate the colours representing 600Ω600\,\,\Omega , from the first table we can take blue as six, and black as zero. From the second table we can take brown and use it to multiply.

Therefore, a resistance of 600Ω has the colour code of blue, black and brown.
Hence, the option (A) blue, black and brown is the correct answer.

Note: Five band resistors with a fourth band of silver or gold form an exception, and are utilized on specific or older resistors. The first two bands represent the significant digits, the third band is a multiplication factor, the fourth band is for tolerance and the fifth band is for the temperature coefficient.