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1100W electric toaster operates at 220V. The resistance of its coil is:
Question

1100W electric toaster operates at 220V. The resistance of its coil is:

A.

11Ω

B.

88Ω

C.

22Ω

D.

44Ω

Correct option is D

Correct answer is (D) 44Ω
Solution :  To find the resistance of the toaster coil, we can use the formula derived from Ohm's Law and the power formula:
P=V2RP = \frac{V^2}{R}​​​

P is the power (1100 W)
V is the voltage (220 V)
R is the resistance (which we need to find)
Rearranging the formula to solve for R:
R=V2PR = \frac{V^2}{P}​​
Substituting the values:
R=22021100R =484001100 =44ΩR = \frac{220^2}{1100}R \\ \ \\= \frac{48400}{1100} \\ \ \\ = 44Ω​​
So, the resistance of the coil is 44Ω.
Information Booster:
  • The power of an electrical device, like a toaster, is related to its voltage and resistance by the formula P=V2RP = \frac{V^2}{R}​. This shows that the power is inversely proportional to the resistance when the voltage is fixed.
  • If the resistance were higher, the power consumption would decrease for the same voltage. Conversely, a lower resistance would increase power consumption.
  • Resistance (R) is a property of the conductor (in this case, the toaster's coil), and it depends on factors like material, length, and cross-sectional area.

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