Kaplan 10th Edition DT Q33

Kaplan's Book

33) This question asks us to compare the current through the 1 and 2 Ohm resistors, which we will call R[1] and R[2]. The first thing to notice is that this is a parallel circuit, so the voltage through each parallel will be the same as the total voltage.

Where V is voltage, and I is current

We are going to assume the voltage as V. Since we have the resistance and potential difference(voltage) through both resistors, we can use Ohm's Law and solve for voltage.

Where V is voltage, I is current, and R is resistance

Since the voltage through R[1] and R[2] are equal, we can equate the two equations we get. This will give us one relation between the current through R[1] and R[2].

Answer: E