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How many 7060 ohm resistor in parallel are required to 5 ampere on a 16 volt

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Answer:

QUESTION:

How many 7060 ohm resistor in PARALLEL are required to 5 ampere on a 16 volt.

GIVEN:

  • resistance of one resistor , r=7060 ohm

  • current, I = 5 ampere

  • potential difference , V = 16 volt

TO FIND:

number of resistors connected in parallel, n

FORMULA:

if n resistors of equal resistance are connected in parallel, then the resultant resistance will be,

R=r/n

where,

  • R is the net resistance
  • r is the INDIVIDUAL resistance
  • n is the number of resistors.

according to OHM'S LAW,

V=IR

SOLUTION:

STEP 1:

TO FIND THE NET RESISTANCE:

R=r/n

R=7060/n

STEP 2:

APPLY OHM'S LAW:

V=IR

16 = 5 \times  \frac{7060}{n} \\  \\  \frac{16}{5}  =  \frac{7060}{n }   \\  \\  \frac{5}{16}  =  \frac{n}{7060}  \\  \\ n = 7060 \times  \frac{5}{16} \\  \\ n = 441.25 \times5 \\  \\ n =2206.25

ANSWER:

therefore 2206.25 resistors are connected in parallel.

since the number of resistors can not be in DECIMAL, the above combination is not possible practically



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