Answer :
A 12 V battery is connected to a 75 ohm resistor. The battery is replaced by a 6 V source and the resistor is replaced with 100 ohms of resistance. The current has changed by a factor of d. 0.375.
To determine by what factor the current has changed, we need to calculate the current in both scenarios using Ohm's Law:
- I = V/R.
First scenario:
V = 12 V
R = 75 Ω
I = V / R = 12 V / 75 Ω = 0.16 A
Second scenario:
V = 6 V
R = 100 Ω
I = V / R = 6 V / 100 Ω = 0.06 A
Now, let's find the factor change in current:
- Factor = I[tex]_n_e_w[/tex] / I[tex]_o_l_d[/tex] = 0.06 A / 0.16 A ≈ 0.375
