Question

Write the color code for $3700\Omega \pm 5\%$.

Answer 1

Hint: We know that the color-coding system is used to represent the values of resistors. For a resistor four color bands are printed on one end of the outer casing. The color bands are always read left to right from the end that has the bands closest to it.

Complete step-by-step solution:
We have to find the color code for $3700\Omega \pm 5\%$.
This can also be written as $37\times {{10}^{2}}\Omega \pm 5\%$
Following is the table for color code:-

Colour	Digit	Multiplier	Tolerance
Black	0	\[{{10}^{0}}=1\]
Brown	1	${{10}^{1}}=10$
Red	2	${{10}^{2}}$
Orange	3	${{10}^{3}}$
Yellow	4	${{10}^{4}}$
Green	5	${{10}^{5}}$
Blue	6	${{10}^{6}}$
Violet	7	${{10}^{7}}$
Grey	8	${{10}^{8}}$
White	9	${{10}^{9}}$
Gold	-	$0.1$	$\pm 5\%$
Silver	-	$0.01$	$\pm 10\%$
No Colour	-	-	$\pm 20\%$

From the table of values color code of various resistors we know that orange is used for $3$, violet is used for $7$, red is used for ${{10}^{2}}$ and for tolerance $\pm 5\%$ gold is used.
Therefore, we get the color code for $3700\Omega \pm 5\%$ as Orange, Violet, Red, and Gold.

Additional Information:
In the system of color-coding we have to know the following facts:-
The first and second color bands represent the first and second significant digits respectively of the resistance value.
The third color band is for the number of zeros that follow the second digit.
In case the third band is gold or silver, it represents a multiplying factor of $0.1$ or $0.01$.
The fourth band represents the manufacturer's tolerance. It is a measure of the precision and accuracy with which the resistor was made.
If the fourth band is not present, the tolerance is assumed to be $\pm 20\%$.

Note: We should remember the colour codes carefully. To learn the table of color codes of resistors let us learn this interesting following sentence:-
BB ROY of Great Britain has a Very Good Wife.
In the above sentence the capital letters have the following meaning:-
B-Black, B-Brown, R-Red, O-Orange, Y-Yellow, G-Green, B-Blue, V-Violet, G-Grey, W-White
Remember the color in the above order and the corresponding digits from $0$ to $9$ and also the multiplier with the power to $10$ from $0$ to $9$.