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A ` 1 k W` heater is meant to operate at `200 V`. (a) What is the resistance? (b) How much power will it consume if the line voltage drops to `100 V`? ( c ) How many units of electrical energy will it consume in a month `( of 30 days)` if it operates `10 h `daily at the specified voltage `( 200 V)`? |
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Answer» Here, power of electric heater, P = 1 kW = 1000 W , V = 220V (i) Resistance of heater, `R = V^(2)/P = (220)^(2)/1000 = 48.4 Omega` (ii) Current drawn by heater, `I= P/V = 1000/220 = 4.545 A` (iii) Rate of dissipation of energy, `H = P/J = 1000/4.2 = 238.1 cal.s^(-1)` (iv) New power of heater `= (V_(1)^(2))/R = (200)^(2)/48.4` `= 826.45 W` |
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