The motor in a hairdryer is attached to a 3V battery. A current of 0.8A flows through the motor for 3 minutes. Calculate the total charge in this time.

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The total charge in this time is equal to 144 Coulomb.

Given the following data:

  • Voltage = 3 Volts
  • Current = 0.8 Amperes
  • Time = 3 minutes.

To calculate the total charge in this time:

First of all, we would convert the value of time in minutes to seconds.

Conversion:

1 minute = 60 seconds

3 minutes = 180 seconds

Formula for quantity of charge.

Mathematically, the quantity of charge is given by this formula:

[tex]Q=It[/tex]

Where:

  • Q is the quantity of charge.
  • I is the current.
  • t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

[tex]Q = 0.8 \times 180[/tex]

Quantity of charge, Q = 144 Coulomb.

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