Certainly! Let's go through the problem step-by-step to determine the electric field strength between the two parallel plates:
### Step 1: Understand the Given Data
- Voltage (V): The voltage applied across the plates is [tex]\( 1000 \)[/tex] volts.
- Distance (d): The spacing between the plates is [tex]\( 1 \)[/tex] cm.
### Step 2: Convert Units
Before we proceed with the calculation, it is important to ensure that all units are consistent. Here, the distance is given in centimeters, but we need it in meters for the standard unit of electric field strength (V/m).
- Convert distance from cm to meters:
[tex]\[
1 \text{ cm} = 0.01 \text{ meters}
\][/tex]
### Step 3: Recall the Formula for Electric Field Strength
The electric field strength [tex]\( E \)[/tex] between two parallel plates is given by the formula:
[tex]\[
E = \frac{V}{d}
\][/tex]
where:
- [tex]\( E \)[/tex] is the electric field strength in volts per meter (V/m).
- [tex]\( V \)[/tex] is the voltage in volts.
- [tex]\( d \)[/tex] is the distance between the plates in meters.
### Step 4: Substitute the Given Values into the Formula
Now that we have the values in the correct units, we can substitute them into the formula:
[tex]\[
E = \frac{V}{d}
\][/tex]
Substituting the given values:
[tex]\[
E = \frac{1000 \text{ volts}}{0.01 \text{ meters}}
\][/tex]
### Step 5: Perform the Calculation
By performing the division:
[tex]\[
E = \frac{1000}{0.01} = 100000 \text{ V/m}
\][/tex]
### Step 6: State the Result
The electric field strength between the two parallel plates is:
[tex]\[
E = 100000 \text{ V/m}
\][/tex]
So, the electric field strength between the plates when a voltage of 1000 volts is applied across plates spaced 1 cm apart is [tex]\( 100000 \)[/tex] volts per meter (V/m).
