Questions: (-6.2 × 10^5 v/m) · ∅ =? v/cm

(-6.2 × 10^5 v/m) · ∅ =? v/cm
Transcript text: $\left(-6.2 \times 10^{5} \frac{\mathrm{v}}{\mathrm{m}}\right) \cdot \emptyset=? \frac{\mathrm{v}}{\mathrm{cm}}$
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Solution

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Solution Steps

Step 1: Understanding the Problem

We need to convert the given electric field from volts per meter (V/m) to volts per centimeter (V/cm).

Step 2: Conversion Factor

We know that: \[ 1 \, \text{m} = 100 \, \text{cm} \]

Step 3: Applying the Conversion

To convert from V/m to V/cm, we divide the value by 100 because there are 100 centimeters in a meter.

Step 4: Calculation

Given: \[ -6.2 \times 10^{5} \, \frac{\text{V}}{\text{m}} \]

Convert to V/cm: \[ -6.2 \times 10^{5} \, \frac{\text{V}}{\text{m}} \times \frac{1 \, \text{m}}{100 \, \text{cm}} = -6.2 \times 10^{5} \, \frac{\text{V}}{100 \, \text{cm}} = -6.2 \times 10^{3} \, \frac{\text{V}}{\text{cm}} \]

Final Answer

\[ \boxed{-6.2 \times 10^{3} \, \frac{\text{V}}{\text{cm}}} \]

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