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The values of resistors R1 and R2 is 33.803 Ohms and 40.736 Ohms, respectively. If a...

The values of resistors R1 and R2 is 33.803 Ohms and 40.736 Ohms, respectively. If a current 0.47799 Amps runs through R2, what is the potential difference across R1? Please include the correct SI units in the answer.

Solutions

Expert Solution

For a circuit with two resistors can be connected in two ways, (1) series connection and (2) parallel connection,

Lets see the first one (1) Series connection

The figure below shows a circuit with two resistors connected in series

For series connection, the current passing through will be same for both R1 and R2 ,and voltages will be V= VR1 + VR2

where V is the voltage source, VR1 is the voltage drop across resistor R1and VR2 is the voltage across resistor R2

Given that, I2  current through R2 is given as 0.47799 A , ie I2 = 0.47799 A, R1 = 33.803 ohms, R2 = 40.736 ohms.

Then,

  

Then,

From this it is clear that in a series connection Total voltage = VR1 + VR2

For parallel connection as shown in figure,

Current will be I = IR1 + IR2  , while voltage across the entire circuit will be always same.

Therefore, voltage across R1 is equal to the total voltage , ie V volt

genius_generous answered 2 years ago
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