Students were asked to answer a question at school and to claim what is most important for them to succeed. From the numerous replies, one which that stood out was practice. Successful persons aren’t born successful; they become successful through hard work and dedication. This is how you can get your goals. followed below are one of the answer and question example that you can certainly benefit from to practice and elevate your knowledge and also give you insights that would guide you to sustain your study in school.

## Question:

An aluminum wire of length 1.0 meter has a resistance of 9.0×10^-3 ohm. If the wire were cut into two equal lengths, each length would have a resistance of

## Answer:

Each **length **of **wire **would have a** resistance** of **4.5 × 10⁻³ Ω.**

Since **resistance R = ρl/A** where

**ρ = conductivity of aluminum,****l = length**and**A = cross-sectional area.**

Since **ρ **and **A **are** constant** for the **aluminum wire**,** R ∝ l**

So. **R₂/R₁ = l₂/l₁ **where

**R₁ = initial resistance**of**wire,****R₂ = resistance**after**wire**is**cut**in**two,****l₁ = initial length**of**wire = 1 m and,****l₂ = final length**of**wire = l₁/2**

Now, since the** length** of the** wire** is cut into two,** l₂ = l₁/2**

So, **R₂/R₁ = l₁/2 ÷ l₁**

R₂/R₁ = 1/2

R₂ = R₁/2

R₂ = 9.0 × 10⁻³ Ω/2

**R₂ = 4.5 × 10⁻³ Ω**

So, each **length **of **wire **would have a** resistance** of **4.5 × 10⁻³ Ω.**

Learn more about** resistance** here:

They can certainly hopefully guide the student take care of the question by obtaining the questions and answer examples. You could potentially then have a discussion with your classmate and continue the school learning by studying the problem mutually.