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In Which of the Following Cases More Electrical Energy is Consumed per Hour? (I) a Current of 1 Ampere Passed Through a Resistance of 300 Ohms. (Ii) a Current of 2 Amperes Passed Through a Resistance of 100 Ohms. - CBSE Class 10 - Science

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Question

In which of the following cases more electrical energy is consumed per hour?

(i) A current of 1 ampere passed through a resistance of 300 ohms.
(ii) A current of 2 amperes passed through a resistance of 100 ohms. 

 

Solution

(i) I = 1 A
    R = 300 Ώ
    t = 1 h
    Electrical energy consumed = `I^2xxRxxt`
                                                   = (1)2 (300) (1)
                                                   = 300 Wh
(ii) I = 2 A
     R = 100 Ώ
    Electrical energy consumed =  `I^2xxRxxt=(2)^2(100)(1)=400Wh`

    Thus, more electrical energy is consumed in case (ii).

  Is there an error in this question or solution?

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Solution In Which of the Following Cases More Electrical Energy is Consumed per Hour? (I) a Current of 1 Ampere Passed Through a Resistance of 300 Ohms. (Ii) a Current of 2 Amperes Passed Through a Resistance of 100 Ohms. Concept: Electric Current and Circuit.
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