A ideal supply with lead resistance and a ideal supply with lead resistance each have…

PHYSICS · Multi-part · Fermi University Physics · Electronics, Instrumentation & Communication · Circuit foundations and passive networks · Circuit foundations and passive networks

Electronics for Measurement, Ch The resistive network: two laws, one equivalent and the loading error

Problem

12\,\mathrm{V}

ideal supply with

3\,\Omega

lead resistance and a

6\,\mathrm{V}

ideal supply with

6\,\Omega

lead resistance each have their negative terminal connected to ground. Each positive terminal reaches a single common node through its own lead resistance, and that node is also connected to ground through a

6\,\Omega

resistor. Take the common node as the only unknown node and ground as the reference. Define

I_1

as the current flowing from the

12\,\mathrm{V}

supply into the node,

I_2

as the current flowing from the node into the

6\,\mathrm{V}

supply, and

I_3

as the current flowing from the node to ground. ((a)) Find the node voltage

v

. ((b)) Find

I_1

I_2

and

I_3

, and check that Kirchhoff's current law holds at the node.

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