How to find the current and equivalent resistance in a parallel circuit

AI Thread Summary
The discussion focuses on calculating the equivalent resistance and current in a parallel circuit with three 16-ohm resistors connected to a 34 V battery. The equivalent resistance is determined using the formula 1/R_total = 1/R1 + 1/R2 + 1/R3, leading to an equivalent resistance of 5.33 ohms. To find the current delivered by the battery, the formula I = V/R is applied, resulting in approximately 6.37 amps. Participants emphasize the importance of correctly calculating the equivalent resistance to accurately determine the current. The conversation highlights common mistakes and the need for careful application of circuit formulas.
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Homework Statement



Three 16 ohm resistors are connected in parallel and placed across a 34 V battery.
(a) What is the equivalent resistance of the parallel circuit?
(b) What is the current delivered by the battery?

Homework Equations



(a) (1/equivalent resistance) = 1/R1+1/R2+1/R3+...
(b) I=V/R

The Attempt at a Solution



(a) (1/16)+(1/16)+(1/16) = (3/16)
equivalent resistance = (3/16)
(b) (34 V / 48 ohm) = .7917 amps
 
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For resistors in parallel we have that:

<br /> 1/R_{total} = 1/R_1+1/R_2+1/R_3 + \ldots,<br />

so you need to take the inverse of the result you gave.

For (b), use the answer from (a) and the expression you correctly wrote: I = V/R.
 
Compare your a) relevant equation to your a) solution attempt. There is something very simple missing.

b) You must find the correct resistance in part a) to solve.

Edit- Niles beat me
 
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