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The maximum number of volts, E, that can be placed across a resistor is given by the formula E=sq root(PR), where P is the number of watts of piwer that the resistor can absorb and R is the resistance of the resistor in ohms. Solve this equation for R. Use the result to determine the resistance of a resistor if P is 1/2 watts and E is 60 volts.
E = √PR
E2 = PR
R = E2/P
R = 3600/0.5 = 7200 ohms
The maximum number of volt (E), that can be placed across the resistor is given by E=√h over 16. If ball dropped from a height of 100 m, how long would it take the ball to uut the ground in second?
Step 1: Start with the given equation:
E = √(PR)
Step 2: Square both sides of the equation to eliminate the square root:
E^2 = PR
Step 3: Divide both sides of the equation by P:
E^2 / P = R
Step 4: Plug in the given values for P (1/2 watts) and E (60 volts):
60^2 / (1/2) = R
Step 5: Simplify the equation:
3600 / (1/2) = R
Step 6: Multiply the numerator by the reciprocal of the denominator:
3600 * 2 = R
Step 7: Multiply the numbers:
7200 = R
Step 8: The resistance of the resistor is 7200 ohms.
To solve the equation E = sqrt(PR) for R, we need to follow these steps:
Step 1: Square both sides of the equation to eliminate the square root sign:
E^2 = PR
Step 2: Divide both sides of the equation by P to isolate R:
E^2 / P = R
Now, let's use the result to determine the resistance (R) of a resistor with P = 1/2 watts and E = 60 volts.
Step 3: Substitute the given values into the equation:
R = (E^2) / P
R = (60^2) / (1/2)
Step 4: Simplify the expression:
R = 3600 / (1/2)
To divide by a fraction, we invert the fraction and multiply:
R = 3600 * (2/1)
Step 5: Evaluate the expression:
R = 7200
Therefore, the resistance of the resistor, when P is 1/2 watts and E is 60 volts, is 7200 ohms.