Total Charge Calculation for a Rectangular Plate
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A rectangular charged plate with a dimension of $a = 1,73m$ and $a = 0,71m$ has a charge density of $\sigma = 90\mu C/m^2$. What is the total charge of the plate in units of $\mu C$ using one decimal point.
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In this problem, we need to find the total charge of a rectangular plate given its dimensions and surface charge density.
Electrostatics: Total Charge on a Plate
Let's list our known values. The plate has dimensions a equals one point seventy three meters and b equals zero point seventy one meters. The surface charge density sigma is ninety micro-Coulombs per square meter.
The total charge Q is calculated by multiplying the surface charge density sigma by the area of the plate A.
For a rectangular plate, the area A is simply the product of its length and width.
Let's first calculate the area A.
Step 1: Calculate Area
Substituting the values, we have one point seventy three meters times zero point seventy one meters.
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