Question Find the resistor value with color bands: Brown, Black, Red, Red.

Studdy Solution

STEP 1

Assumptions1. The resistor follows the standard color coding scheme for resistors. . The color bands are read from left to right.
3. The first two bands represent the first two digits of the resistor value.
4. The third band represents the multiplier.
5. The fourth band represents the tolerance.

STEP 2

First, we need to assign each color a numerical value according to the standard color coding scheme for resistors.
$Brown =1, Black =0, Red =2$

STEP 3

The first two bands represent the first two digits of the resistor value. The color of the first band is brown, which corresponds to1. The color of the second band is black, which corresponds to0.
$First\, two\, digits =10$

STEP 4

The third band represents the multiplier. The color of the third band is red, which corresponds to2. This means we multiply the first two digits by $10^2$ .
$Resistor\, value = First\, two\, digits \\times10^{Multiplier}$

STEP 5

Plug in the values for the first two digits and the multiplier to calculate the resistor value.
$Resistor\, value =10 \\times10^2$

STEP 6

Calculate the resistor value.
$Resistor\, value =10 \\times10^2 =1,000\, ohms$

STEP 7

The fourth band represents the tolerance. The color of the fourth band is red, which corresponds to a tolerance of2%.
$olerance =2\%$ The resistor value is1,000 ohms with a tolerance of2%.

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