An Ohmic Resistor is crossed by a 0.5 A current, while plugged in to a 12 V battery. The electrical resistance of this Resistor equals?

Question

a) 24 OHM

b) 4 OHM

c) 8 OHM

d) 12 OHM

e) 6 OHM

Answer 1

The application of Ohm's Law here means that you want to take

R = V/I

R = 12 V / 0.5 A = 24 ohms

meaning that the electrical resistance of the resistor is 24 Ohms in this scenario

Answer 2

V=IR, where V=Voltage. Voltage ( V ) is the amount of joules ( J ) of energy made available by the transport of one coulomb ( C ) of charge. Thus, V=( J/C ).

Current in units of Amperes ( I )=Coulombs of charge passing some point of reference per second=( C/s ).

Resistance in units of Ohms ( R )= ( V / A )=( ( J / C ) / ( C / s ). Therefore, ( J / C )( s / C )= ( ( J * s ) / ( C^2 ) )=( V * s ) / ( C )=( ( V )( s / C ) )

( V / I )=R. Substitute the above values into this equation to find the value of the resistor in the circuit.

( 12 V / 0.5 A ) =?.