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8 ohm resistor is mounted in parallel with a resistor R = 5ohm. and this combina

ID: 1667277 • Letter: 8

Question

8 ohm resistor is mounted in parallel with a resistor R = 5ohm. and this combination is connected in series with and 10 ohm resistor and a 12 v battery. what is my current thorughR resistor? and for this same question, what is the power dissipated inthe R resistor?? Thank you so much. 8 ohm resistor is mounted in parallel with a resistor R = 5ohm. and this combination is connected in series with and 10 ohm resistor and a 12 v battery. what is my current thorughR resistor? and for this same question, what is the power dissipated inthe R resistor?? Thank you so much.

Explanation / Answer

   Resistor   R1 = 8 , Resistor R2 =5  Resistor R3 = 10    R1 &R2 are in parallelis 1 / Rp = 1 / R1 +1/R2                                                     =1 / 8 + 1/ 5                                               1/ Rp = 0.325                                               Rp = 3.07       This combination is connectedto R3 in series is     R =  Rp + R3                                                                                      = 3.07 +10                                                                                     = 13.07                 Accordingto Ohm's law I =V /R                                                         = 12 V / 13.07                                                         = 0.91 A Power dissipated in resistor is P =I2 R                                                     = ( 0.91 A )2 * 13.07                                                     = 10.92 W                                                                                      = 3.07 +10                                                                                     = 13.07                 Accordingto Ohm's law I =V /R                                                         = 12 V / 13.07                                                         = 0.91 A Power dissipated in resistor is P =I2 R                                                     = ( 0.91 A )2 * 13.07                                                     = 10.92 W
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