A 70 W electric blanket runs at 24 V.

Question

A 70 W electric blanket runs at 24 V.

What is the resistance of the wire in the blanket?

How much current does the wire carry?

Answer 1

W = V^2/(ohms)

Answer 2

To find the resistance of the wire in the electric blanket, we can use Ohm's Law, which states that resistance (R) is equal to voltage (V) divided by current (I).

First, let's find the resistance:

Resistance (R) = Voltage (V) / Current (I)

Given that the electric blanket runs at 24 V and has a power of 70 W, we can use the power formula:

Power (P) = Voltage (V) * Current (I)

Rearranging the formula to solve for current (I), we get:

Current (I) = Power (P) / Voltage (V)

Substituting the given values:

Current (I) = 70 W / 24 V

Calculating the current:

Current (I) = 2.92 A (rounded to two decimal places)

Now that we know the current, we can use Ohm's Law again to find the resistance:

Resistance (R) = Voltage (V) / Current (I)

Resistance (R) = 24 V / 2.92 A

Calculating the resistance:

Resistance (R) = 8.22 ohms (rounded to two decimal places)

Therefore, the resistance of the wire in the electric blanket is approximately 8.22 ohms, and the wire carries a current of approximately 2.92 A.

Answer 3

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