(a) calculate the energy in joules put out by a 9.0 V calculator battery that moves 3.0 C of charge through a handheld calculator after 1 hr of operation.
(b) calculate the energy put out by a 12.0 V car battery that moves 1000 C of charge (as it may when starting the car's engine)
To calculate the energy, we need to use the formula:
Energy (in joules) = Voltage (in volts) × Charge (in coulombs)
(a) For the 9.0 V calculator battery that moves 3.0 C of charge through a handheld calculator after 1 hour of operation:
Step 1: Convert 1 hour to seconds
1 hour = 60 minutes × 60 seconds = 3600 seconds
Step 2: Use the formula
Energy = Voltage × Charge
= 9.0 V × 3.0 C
= 27 Joules
Therefore, the 9.0 V calculator battery puts out 27 Joules of energy.
(b) For the 12.0 V car battery that moves 1000 C of charge when starting the car's engine:
Step 1: Use the formula
Energy = Voltage × Charge
= 12.0 V × 1000 C
= 12000 Joules
Therefore, the 12.0 V car battery puts out 12000 Joules of energy when moving 1000 C of charge.