Norton's Theorem Norton's Theorem Procedure [PDF]

Feb 2, 2005 - ELEC 111 Norton. 2. Norton's Theorem Procedure. • Identify and remove the load. • Short the load termi

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Norton's Theorem

2 February 2005

Norton’s Theorem ELEC 111

Norton’s Theorem Procedure • Identify and remove the load • Short the load terminals and calculate IN (ISC) • Remove all sources by replacing: – voltage sources with a short – current sources with an open – If the source has an internal resistance, keep the resistance in the circuit

• Look in the load terminals and calculate RN • Create a parallel circuit consisting of IN, RN, and the load • Calculate the load current or voltage as desired

2 February 2005

ELEC 111

ELEC 111 Norton

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1

Norton's Theorem

2 February 2005

Norton Example 1

Identify Load RL

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Norton Example 1

Remove RL Short the load terminals Calculate ISC 2 February 2005

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ELEC 111 Norton

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2

Norton's Theorem

2 February 2005

Solution for IN

2 February 2005

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Norton Example 1

Remove Sources Calculate RN

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ELEC 111 Norton

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3

Norton's Theorem

2 February 2005

Norton Example 1

Remove Sources Calculate RN 2 February 2005

ELEC 111 Norton

7

Norton Solution for IL

2 February 2005

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ELEC 111 Norton

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4

Norton's Theorem

2 February 2005

Norton Solution for IL

2 February 2005

ELEC 111 Norton

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Norton Example 2

Identify Load RL

2 February 2005

ELEC 111

ELEC 111 Norton

10

5

Norton's Theorem

2 February 2005

Norton Example 2

Remove RL Short the load terminals Calculate ISC1 2 February 2005

ELEC 111 Norton

11

Norton Example 2

2 February 2005

ELEC 111

ELEC 111 Norton

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6

Norton's Theorem

2 February 2005

Norton Example 2

Remove RL Short the load terminals Calculate ISC2 2 February 2005

ELEC 111 Norton

13

Norton Example 2

2 February 2005

ELEC 111

ELEC 111 Norton

14

7

Norton's Theorem

2 February 2005

Norton Example 2

Remove Sources Calculate RN 2 February 2005

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Norton Example 2

IN = ISC1 + ISC2 Calculate VL or IL

⎛ RN ⎞ I L = IN ⎜ ⎟ ⎝ RN +RL ⎠ 2 February 2005

ELEC 111

ELEC 111 Norton

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8

Norton's Theorem

2 February 2005

Norton Example 2

2 February 2005

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Norton Example 2

2 February 2005

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ELEC 111 Norton

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9

Norton's Theorem

2 February 2005

Norton Example 3

Identify Load RL 2 February 2005

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Norton Example 3

Remove RL Short the load terminals and Calculate IN1 2 February 2005

ELEC 111

ELEC 111 Norton

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10

Norton's Theorem

2 February 2005

Norton Example 3

Remove RL Short the load terminals and Calculate IN2 2 February 2005

ELEC 111 Norton

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Norton Example 3

2 February 2005

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ELEC 111 Norton

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11

Norton's Theorem

2 February 2005

Norton Example 3

2 February 2005

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Norton Example 4

2 February 2005

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12

Norton's Theorem

2 February 2005

Norton Example 4

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Norton Example 4

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ELEC 111 Norton

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13

Norton's Theorem

2 February 2005

Norton Example 4

RN

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Norton Example 4

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ELEC 111 Norton

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14

Norton's Theorem

2 February 2005

Norton Example 4

2 February 2005

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