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A.) The total current flowing through the batteryis 0.88 A. Find the value of re

ID: 1666789 • Letter: A

Question

A.) The total current flowing through the batteryis 0.88 A. Find the value of resistance R. B.)Find the current through eachresistor. C.) If the total current in the battery had beengreater than 0.88 A, would your answer to part A have beenlarger or smaller? The total current flowing through the batteryis 0.88 A. Find the value of resistance R. B.)Find the current through eachresistor. C.) If the total current in the battery had beengreater than 0.88 A, would your answer to part A have beenlarger or smaller? If the total current in the battery had beengreater than 0.88 A, would your answer to part A have beenlarger or smaller?

Explanation / Answer

Given     R1 = 27       R2 = 77      R3   =R     voltage   V = 12 V       current   I =0.88A        The three capacitors areconnected in parallel combination                   1/ R p   = 1 / R1 +1/R2 +1/R3                                  = 1 / 27 + 1 / 77 + 1 / R                   1/ Rp    =   0.037 +0.012 + 1 / R                              = 0.0499+1/ R                    Rp   = R / R0.0499 +1           According to ohmslaw                V = I R             12 V = 0.88 ( R / R0.0499 +1)                      12 (R(0.0499)+1) = 0.88 R                           0.5998R+ 12   = 0.88R                                    R = 42.82655 Current through R1   is                I 1 = V / R1                      = 12 / 27                      = .0.4A   Current through R2   is                I 2 = V / R2                      = 12 /77                      = .0.15A Current through R3   is                I 3 = V / R3                      = 12 / 42.82                      = .0.28 A                I 3 = V / R3                      = 12 / 42.82                      = .0.28 A        c)smaller              because V = I R                      I   = V / R                       I   is inversly proportional to resistance .                                
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