
A carbon resistor is colour-coded with green, black, red and brown respectively. The maximum current which can be passed through this resistor is
(A)
(B)
(C)
(D)
Answer
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Hint
To find the maximum current passing through the resistor, we need to first calculate the value of the resistance using the colour codes. Then, we have to apply the formula we can get the value of current.
Formula used: In this solution we will be using the following formula,
’
Where, is power, is the current flowing, and is the resistance.
Complete step by step answer
The table for the colour codes for carbon is:
Now, it is given in the question that the power of the carbon resistor is 2W. It is colour coded with green, black, red, and brown.
According to the table, green is 5, black is 0, red is
So we get the resistance as
In the relation,
From here we can rearrange this formula as,
On taking root,
If is maximum, then the resistance should be minimum. Thus,
,
Thus, when we apply the values of and in the given formula,
We get,
Substituting the values we get
When we simplify, we get
We can write this in milli-ampere as,
Thus, we get the maximum current which can be passed through the resistor is .
Hence, the correct answer is option (D).
Note
In the colour code for the resistor, we are given four colours. The fourth colour given as brown indicates the tolerance of the material. The colour brown means that the tolerance of that resistor is .
To find the maximum current passing through the resistor, we need to first calculate the value of the resistance using the colour codes. Then, we have to apply the formula
Formula used: In this solution we will be using the following formula,
Where,
Complete step by step answer
The table for the colour codes for carbon is:
LETTERS | COLOUR | FIGURE | MULTIPLIER |
B | Black | 0 | |
B | Brown | 1 | |
R | Red | 2 | |
O | Orange | 3 | |
Y | Yellow | 4 | |
G | Green | 5 | |
B | Blue | 6 | |
V | Violet | 7 | |
G | Grey | 8 | |
W | white | 9 |
Now, it is given in the question that the power of the carbon resistor is 2W. It is colour coded with green, black, red, and brown.
According to the table, green is 5, black is 0, red is
So we get the resistance as
In the relation,
From here we can rearrange this formula as,
On taking root,
If
Thus, when we apply the values of
We get,
Substituting the values we get
When we simplify, we get
We can write this in milli-ampere as,
Thus, we get the maximum current which can be passed through the resistor is
Hence, the correct answer is option (D).
Note
In the colour code for the resistor, we are given four colours. The fourth colour given as brown indicates the tolerance of the material. The colour brown means that the tolerance of that resistor is
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