Calculating Charge on 10cm Diameter Sphere: 3700V

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To calculate the charge on a 10 cm diameter conducting sphere at 3700 V, the formula V = kq/R is used, where k is Coulomb's constant (approximately 8.987 x 10^9 N m²/C²) and R is the radius of the sphere. The radius is 0.05 m, leading to the equation 3700 = (8.987 x 10^9 * q) / 0.05. Solving for q gives approximately 0.041 microcoulombs, but there is confusion about the calculation. The discussion highlights the importance of correctly identifying the radius and reassures that mistakes are part of the learning process.
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Homework Statement


the question is A conducting sphere has a diameter of 10 centimeters. If you measure its voltage to be 3700 V, what is the charge in μC you have put on the sphere?


Homework Equations



V=3700, D=0.1 m, V=kq/R

The Attempt at a Solution



3700= (8.987 * 10^9 * q)/.1

q=.041 microcoloumbs.

but it says I am wrong?? am i making a mistake someplace?
 
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What's the radius?
 
LowlyPion said:
What's the radius?

oh my god I am stupid. thanks
 
FuzzyDunlop said:
oh my god I am stupid. thanks

Careless ... maybe, but I suspect you will get over that.

Stupid? Not likely. You were smart enough to ask here.
 

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