When transposing the equation E = RI to solve for I, what is the resulting formula?

When transposing the equation E = RI to solve for I, what is the resulting formula?

• A. I = E × R
• B. I = E / R
• C. I = R / E
• D. I = ER

Answer: (B)

To solve the equation \( E = RI \) for \( I \), you need to isolate \( I \) on one side of the equation. This can be accomplished by dividing both sides of the equation by \( R \), assuming that \( R \neq 0 \). Starting with the original equation: \[ E = RI \] You can divide both sides by \( R \): \[ \frac{E}{R} = \frac{RI}{R} \] This simplifies to: \[ \frac{E}{R} = I \] Rearranging this gives: \[ I = \frac{E}{R} \] Thus, the correct formula for \( I \) in terms of \( E \) and \( R \) is indeed \( I = E / R \). This formula reflects Ohm's Law, which demonstrates the relationship between voltage (E), resistance (R), and current (I).

To solve the equation ( E = RI ) for ( I ), you need to isolate ( I ) on one side of the equation. This can be accomplished by dividing both sides of the equation by ( R ), assuming that ( R \neq 0 ).

Starting with the original equation:

[ E = RI ]

You can divide both sides by ( R ):

[ \frac{E}{R} = \frac{RI}{R} ]

This simplifies to:

[ \frac{E}{R} = I ]

Rearranging this gives:

[ I = \frac{E}{R} ]

Thus, the correct formula for ( I ) in terms of ( E ) and ( R ) is indeed ( I = E / R ). This formula reflects Ohm's Law, which demonstrates the relationship between voltage (E), resistance (R), and current (I).