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A 4ohms and a 6 ohms resistor are connected in a parallel with a 12 volt battery?
the total resistance in the circuit
the current through the 6 ohms resistor
voltage drop across the 4 ohms resistor
1 Answer
- 1 decade agoFavorite Answer
Resistors in parallel can be added with the following formula:
1/Rtot = 1/R1 + 1/R2 + ... + 1/Rn;
Note that the total resistance will ALWAYS be less than the individual resistances.
In this case,
1/Rtot = 1/4 +1/6 = 10/24 = 5/12, or Rtot = 12/5 = 2.4 Ohms
Because the resistors are in parallel they each see a 12 v differential, ie voltage drop across either resistor is 12 Volts, so using V = I*R, rewritten as I = V/R
6 Ohm current = 12/6 = 2 amp
