Compound alternating current circuits

Explanation of question 11

A capacitor and resistor are connected in parallel across an AC supply. Each component takes a current of 7A. The total current will be approximately

  1. zero
  2. 7A
  3. 10A
  4. 14A

The answer is :- 3  The two currents cannot be added together directly, but must be added vectorially thus

I2 = I12  + I22 = 49 + 49 = 98

I = 10A approximately

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