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Series Circuits

Series Circuits. ENTC 210: Circuit Analysis I Rohit Singhal Lecturer Texas A&M University. Is this a series circuit?. R 1. R 2. Is this a series circuit?. R 1. R 3. R 2. Is this a series circuit?. R 1. R 3. R 2. Series Circuit. Two elements are in series if

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Series Circuits

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  1. Series Circuits ENTC 210: Circuit Analysis I Rohit Singhal Lecturer Texas A&M University

  2. Is this a series circuit? R1 R2

  3. Is this a series circuit? R1 R3 R2

  4. Is this a series circuit? R1 R3 R2

  5. Series Circuit • Two elements are in series if • They have only one terminal in common. • The common point in the two elements is not connected to a third current carrying element.

  6. Resistance • Resistance is proportional to length length direction of current flow

  7. Resistance • R = ρL/A • ρ is the resistivity of the material (units?)

  8. length length direction of current flow direction of current flow Resistance • What happens if two elements are connected back to back?

  9. Resistance • R = ρ (L1+L2)/A • R = R1 + R2 • The total resistance of a series circuit is the sum of all the resistances in the path

  10. R1 R2 Resistance • The resistance seen by the source • R=R1+R2 • The two circuits on the right are equivalent R1+R2

  11. Voltage Drop? • The current through each resistor is calculated by the Ohm’s law • =V1/R1 • Where V1 is the voltage across the resistor. • =V/RT • Where RT is the total resistance in the circuit. • V1 = VxR1/RT

  12. Power? • Power dissipated in each resistor • P1 = V12/R1 • P1 = (V2/RT2)x R1 • Total power = V2/RT = P1 + P2 + …

  13. Kirchhoff’s Voltage Law • The algebraic sum of the potential rises and drops around a closed loop is zero.

  14. R1 R2 KVL • V + V1+V2 = 0 • Can anyone prove this mathematically? V1 V V2

  15. Voltage Divider Rule • In a series circuit the voltage across the resistive elements will divide as the magnitude of the resistors

  16. This is not a loop. Or is it? Ground Terminal

  17. This is not a loop. Or is it? Ground terminal means that the two points are both connected to ground and are at a zero potential. So this is a loop. Ground Terminal

  18. Internal Resistances • Voltage and other sources have internal resistances, and they should be counted while solving circuits.

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