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A current of 1 mA is passing through a carbon film resistor when connected to a 10 V supply. Identify the color code of the resistor.
Question

A current of 1 mA is passing through a carbon film resistor when connected to a 10 V supply. Identify the color code of the resistor.

A.

Brown. Black. Orange

B.

Black. Brown. Orange

C.

Brown. Black. Red

D.

Black. Brown. Red

Correct option is A

We first calculate the resistance using Ohm’s Law:R=VIWhere: V=10 V (voltage across the resistor) I=1 mA=0.001 A (current through the resistor)Step 1: Calculate the Resistance:R=100.001=10,000 Ω=10 kΩStep 2: Determine the Color Code:For a 10kΩ resistor, the color code is determined as follows:1First band (1st digit): 1Brown2Second band (2nd digit): 0Black3Multiplier (103)OrangeThus, the color code is:Brown, Black, Orange.\text{We first calculate the resistance using Ohm's Law:} \\R = \frac{V}{I}\\[1.5ex]\text{Where:} \\\quad \bullet\ V = 10\,\text{V (voltage across the resistor)} \\\quad \bullet\ I = 1\,\text{mA} = 0.001\,\text{A (current through the resistor)}\\[1.5ex]\text{Step 1: Calculate the Resistance:} \\R = \frac{10}{0.001} = 10{,}000\,\Omega = 10\,\text{k}\Omega\\[2ex]\text{Step 2: Determine the Color Code:} \\\text{For a 10k}\Omega\text{ resistor, the color code is determined as follows:} \\\quad 1\quad \text{First band (1st digit): } 1 \rightarrow \text{Brown} \\\quad 2\quad \text{Second band (2nd digit): } 0 \rightarrow \text{Black} \\\quad 3\quad \text{Multiplier } (10^3) \rightarrow \text{Orange}\\[1.5ex]\text{Thus, the color code is:} \\\text{Brown, Black, Orange.}​​

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