ELEC 275 Lecture Notes - Lecture 3: Current Source

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Let n be a network containing resistors and shall not contain sources. It is required to determine rab, the input resistance across two given terminals a and b. Terminals a and b are given to you. Connect a known voltage source v across a-b. Determine r14, the input resistance between 1 and 4. This is also called "effective resistance" or driving point resistance) A known voltage source v is connected between 1 and 4. We get i = i1 = i2 = i3. Or: -v + ir1 + ir2 + ir3 = 0. In a series connection, the input resistance is the sum of the individual resistances. The same current i flows through each of the resistors. The resistances r1, r2 and r3 are connected between the two nodes a and b. Hence, the same voltage v exists across each of the resistances. V is the known voltage source connected between a and b.

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