Certainly! Let's walk through the steps needed to convert a measurement from volts per meter (V/m) to volts per centimeter (V/cm).
1. Identify the given value:
- The value is [tex]\( 0.040 \frac{v}{m} \)[/tex].
2. Determine the conversion factor:
- We need to convert meters to centimeters. We know that 1 meter is equal to 100 centimeters.
- This means the conversion factor is 100.
3. Apply the conversion factor:
- To convert from volts per meter to volts per centimeter, we need to multiply the given value by the conversion factor.
Therefore, the detailed setup of the equation will be:
[tex]\[
\left(0.040 \frac{v}{m} \right) \cdot 100 = 4.0 \frac{v}{cm}
\][/tex]
So, filling in the missing part of the equation, we get:
[tex]\[
\left(0.040 \frac{v}{m} \right) \cdot 100 = 4.0 \frac{v}{cm}
\][/tex]
The equation now reads as expected, demonstrating the conversion from volts per meter to volts per centimeter correctly.
