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To calculate the power of a material given an electric field (E), distance (d), and current (I) flowing through it, we use the formula relating electric field strength, distance, and potential difference (V), and then apply the power formula.
First, the electric field (E) is given in units (assumed to be Volts per meter, V/m), the distance (d) is given in centimeters (10 cm, which needs to be converted to meters, 10 cm = 0.1 m for the formula to work correctly since standard SI units are necessary), and the current (I) is given in Amperes (A).
The electric field is defined as the electric force per unit charge, and its relationship with potential difference (voltage, V) across a distance (d) is given by:
[ V = E times d ]
Substituting the given values:
[ V = 100 , text{V/m} times 0.1 , text{m} = 10 , text{V} ]
Now, with the voltage calculated, we can find the power (P) using the formula:
[ P = V times I ]
where ( P ) is the power in watts (W), ( V ) is the potential difference in volts (V), and ( I ) is the current in amperes (A).
[ P = 10 ,
b
Explanation: Power is defined as the product of voltage and current.
P = V X I, where V = E X d. Thus P = E X d X I = 100 X 0.1 X 2 = 20 units