Question

An electric bicycle has a 36 v battery for a motor that transfers 78 000 j of energy in 5 minutes. Calculate the current in the motor circuit and the electrical resistance of the motor.

Answer 1

The current in the motor circuit is 7.22 A and the electrical resistance of the motor is 4.99 Ω for an electric bicycle with a 36 V battery that transfers 78,000 J of energy in 5 minutes.

Step-by-step explanation:

To calculate the current in the motor circuit and the electrical resistance of the motor for an electric bicycle with a 36 V battery that transfers 78,000 J of energy in 5 minutes, we need to use the formulas for power and Ohm's law. Power, which is energy transferred per unit time, is given by P = E/t, where E is energy and t is time. Using this, we can find the current (I) from the power (P) using the formula P = VI, where V is voltage. For resistance (R), we use Ohm's law, which states that V = IR.

First, we calculate the power:

P = E/t
P = 78,000 J / (5 min × 60 s/min)
P = 78,000 J / 300 s
P = 260 W

Now, we calculate the current:

I = P/V
I = 260 W / 36 V
I = 7.22 A (rounded to two decimal places)

Finally, we calculate the resistance using Ohm's law:

R = V/I
R = 36 V / 7.22 A
R = 4.99 Ω (rounded to two decimal places)