Question

Predict the missing values if the following trials were performed. (No CER required) ∆V = 24 V R = 10 Ω I = _______ A ∆V = 12 V R = 40 Ω I = _______ A ∆V = 6 V I = 4.0 A R = _______ Ω

Answer 1

a)I=2.4 A

b)I=0.3 A

c)1.5 ohms

Explanation

Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points.it is represented in the equations

$\begin{gathered} V=RI \\ R=\frac{V}{I} \\ I=\frac{V}{R} \end{gathered}$

so

Step 1

a) given

$\begin{gathered} V=24\text{ V} \\ R=10\text{ ohm} \\ I=\text{ unknown} \end{gathered}$

replace in the proper formula, so

$\begin{gathered} I=\frac{V}{R} \\ I=\frac{24\text{ V}}{10\text{ Ohm}}=2.4\text{ A} \end{gathered}$

so

a)I=2.4 A

Step 2

i)let

$\begin{gathered} V=12\text{ V} \\ R=40\text{ ohms} \end{gathered}$

replace

$\begin{gathered} I=\frac{V}{R} \\ I=\frac{12\text{ V}}{40\text{ ohm}}=0.3\text{ A} \end{gathered}$

so

b)I=0.3 A

Step 3

finally, to find the resistenace, let

$\begin{gathered} V=6\text{ V} \\ I=4.0\text{ A} \end{gathered}$

replace in the proper formula

$\begin{gathered} R=\frac{V}{I} \\ R=\frac{6\text{ V}}{4\text{ A}} \\ R=1.5\text{ ohms} \end{gathered}$

so

c)1.5 ohms

I hope this helps you