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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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