4. Isolate the indicated variable in each 3 a. \( E=I R_{1}+I R_{2}+I R_{3} \quad \) for \( I \)

To isolate \( I \) in the equation \( E = I R_1 + I R_2 + I R_3 \), you first factor out \( I \) from the right side. This gives you \( E = I(R_1 + R_2 + R_3) \). Then, divide both sides by \( (R_1 + R_2 + R_3) \). This results in \( I = \frac{E}{R_1 + R_2 + R_3} \). Now, you've unlocked the power of Ohm's Law, which not only explains electric circuits but also the relationship between voltage, current, and resistance in a fun, hands-on way! Experimenting with different circuit components can lead to fascinating discoveries—you might find intriguing outcomes by altering resistors or adding new elements for your very own electric masterpiece!