Electric lamp (100 ohm resistance), a toaster (50 ohm resistance), and water filter (500 ohm resistance) are parallelly connected to 220V source. Find resistance and current of electric iron connected to the same current source.

Resistance is the ratio between the applied voltage to the current flowing through a circuit. Current, on the other hand, is the flow of electrical charge carrier.

As per the given question,

  • R₁ = 100 Ω
  • R₂ = 50 Ω
  • R₃ = 500 Ω

Now, in order to find its resistance and current, we have to:

Thus, the total resistance= 1/R = 1/R₁ + 1/R₂ + 1/R₃

⇒ 1/R = 1/100 Ω + 1/50 Ω + 1/500 Ω

⇒ 1/R = ( 5 + 10 + 1 )/500

⇒ 1/R = 16/500

Hence, 500/16 = Total R

Total Resistance = 500/16 Ω

Since R = V/I (according to Ohm’s Law)

Therefore, after replacing the values, we get,

⇒ 500/16 = 220/I

⇒ I = 220 × 16/500

⇒ I = 7.04 A


Related Questions

  1. What is the necessary condition for a conductor to obey Ohm's Law?
  2. Why is the curve representing Ohm's law linear?
  3. What Is Effective Resistance?
  4. What are the applications of ohm's law used in daily life?
  5. What are the limitations of Ohm's Law?
  6. State Ohms Law. Express It Mathematically. Define Si Unit Of Resistance.
  7. Draw a circuit diagram to verify ohm’s law.
  8. Is resistance constant in Ohm's law?
  9. How many 176 Ω resistors (in parallel) are required to carry 5 A on a 220 V line?
  10. How do you find the resistance in Ohm's law?
  11. State Ohm's Law. Express It Mathematically. Define Si Unit Of Resistance.
  12. What Is Ohm's Law Graph?
  13. How Do You Find The Resistance Of A Wire?
  14. State Ohms law. How can it be verified experimentally?
  15. What are the 3 forms of Ohm's law

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