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The power consumed by an appliance can be calculated using the formula:

P = I^2 * R

where P is the power in watts (W), I is the current in amperes (A), and R is the resistance in ohms (Ω).

In this case, the resistance of the appliance is given as 100 ohms and the current flowing through it is 2 amperes. Substituting these values in the above formula, we get:

P = 2^2 * 100 = 400 watts

Therefore, the power consumed by the appliance is 400 watts.