Resistors

Electricity and Magnetism Level 2

If you have 4 resistors of 1 ohm resistance in series and suddenly remove 1 resistor. How will this affect the power required?

  • Assume:
  • Voltage varies as the load changes
  • Initial voltage is 1V when 4 resistors are connected
  • Current stays constant

Extra help:

Decreased by 50%, new power 0.1250W Increased by 25%, new power 0.3125W Decreased by 13.33%, new power 0.2168W Decrease by 25%, new power 0.1875W

Brandon Louw by Brandon Louw , 29, South Africa

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1 solution

Brandon Louw
Jun 18, 2016
  • P1 = V 1 2 4 R \frac{V1^2}{4R}
  • P1 = 0.25 W
  • P2 = V 2 2 3 R \frac{V2^2}{3R}
  • I = V 1 4 R \frac{V1}{4R}
  • I = V 2 3 R \frac{V2}{3R}
  • V2 = 0.75V1
  • P2 = ( 0.75 V 1 ) 2 3 R \frac{(0.75V1)^2}{3R}
  • P2 = 0.1875 Difference
  • 0.1875 0.25 \frac{0.1875}{0.25}
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