Two resistors in the voltage divider circuit in the illustration have a total resistance of 1,375 ohms. TO provide the required voltage, R1 must be 125 ohms greater than R2. Find both resistances
TPS:
Is there any circuit diagram given?
yes
and the answer is 625ohm , 750 ohm
where is the diagram?
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The resistors are in series connection.
Given that R1 is 125 ohm greater than R2.
thus R1 = R2 + 125
total resistance = 1375 ohm
⇒ R1 +R2 = 1375
⇒ R2 +125 +R2 = 1375
⇒ 2 R2 = 1375-125 = 1250
⇒ R2 = 1250/2 = 625 ohm
R1 = R2 + 125 = 325 +125 = 750 ohm
R1 = 625 ohm and R2 = 750 ohm
Given that R1 is 125 ohm greater than R2.
thus R1 = R2 + 125
total resistance = 1375 ohm
⇒ R1 +R2 = 1375
⇒ R2 +125 +R2 = 1375
⇒ 2 R2 = 1375-125 = 1250
⇒ R2 = 1250/2 = 625 ohm
R1 = R2 + 125 = 325 +125 = 750 ohm
R1 = 625 ohm and R2 = 750 ohm
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