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Consider the following DC circuit. A collection of resistors, as shown, is attac

ID: 2256813 • Letter: C

Question

Consider the following DC circuit. A collection of resistors, as shown, is attached to 16.0 V battery. The resistances in the circuit are: R1 = 15.0 ?, R2 = 20.0 ?,, R3 = 30.0 ?,, and R4 = 40.0 ?,. What is the current through the resistor R2 (that is, the 20.0 ?, resistor)?

Consider the following DC circuit. A collection of resistors, as shown, is attached to 16.0 V battery. The resistances in the circuit are: R1 = 15.0 ?, R2 = 20.0 ?,, R3 = 30.0 ?,, and R4 = 40.0 ?,. What is the current through the resistor R2 (that is, the 20.0 ?, resistor)?

Explanation / Answer

lets find equivalent resistance of circuit


R= R1 + (R3+R4) || R2

= 15 + 70 || 20

= 15 + 20*70/(20+70)

= 15 + 15.556

= 30.556 ohm


I= V/R = 16/30.556 = 0.524 A


Voltage across R2 = 16V - 0.524 * R1

= 16 - 0.524 * 15

= 8.145 V


Current across R2 = V/ R

= 8.145/ 20

= 0.407 A

  

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