How to Calculate Voltage across Resistor Assignment Help

Assignment Help: >> Physics - How to Calculate Voltage across Resistor

Q: Find the voltage across 4kΩ resistor in given figure.

1171_voltage.png

Solution:

            We have to calculate the voltage across 4kΩ resistor.

                                           12k||4k = (12 x4)/ (12+4)

                                                        = 3kΩ

2229_voltage1.png

9kΩ is in series along 3kΩ their joint effect = (9k +3k)     =12kΩ                                                                                           

610_voltage2.png

12kΩ is parallel along 6kΩ resistor therefore

                                                12k||6k = (12 x 6)/18

                                                 =   72/18 = 4kΩ                     

1355_voltage3.png

12kΩ is parallel along 4kΩ resistor therefore

                                                12k||4k = (12 x4)/ (12+4)

                                                              = 48/16

                                                               = 3kΩ

370_voltage4.png

Therefore through voltage division rule, the value of voltage across the corresponding 3kΩ resistor will be

                                                         V = (3/6) x12 = 6 V

1401_voltage5.png

Therefore the voltage across 3kΩ resistor will be

                                                            V = (3/12) x 6

                                                                =1.5 volts

155_voltage6.png

The similar voltage shall be drop across 4kΩ resistor.

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