Sometimes, we can use symmetry considerations to find the resistance of a circuit that
cannot be reduced by series or parallel combinations. A classic problem of this type is illustrated
in Figure P2.16. Twelve 1-Ω resistors are arranged on the edges of a cube, and terminals a and
b are connected to diagonally opposite corners of the cube. The problem is to find the resistance
between the terminals. Approach the problem this way: Assume that 1 A of current enters terminal a and exits through terminal b. Then, the voltage between terminals a and b is equal tothe unknown resistance. By symmetry considerations, we can find the current in each resistor.Then, using KVL, we can find the voltage between a and b.

Figure P2.16
Each resistor has a value of 1 Q.

Image Transcription

Figure P2.16 Each resistor has a value of 1 Q.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Electrical Engineering

Circuit Theory

Related Electrical Engineering Q&A

Find answers to questions asked by students like you.

Q: If we add 24 V to a-b , calculate the current on the a-b .

A: Click to see the answer

Q: C1 C2 СЗ hree capacitors C=5 µF, C2=8 µF and C3=10 µF are connected as shown in Fig. Only capacitor ...

A: Three capacitor C1 =5µF, C2=8µF, and C3 =10µF connected as shown in the figure above. When the switc...

Q: Given the circuit below with transistor β = ∞; VBE = 0.7V; diode forward bias voltage is 0.7 V. Find...

A: Click to see the answer

Q: 5. For the following LC circuit shown below, at time t = 0, the amount of charge on the left capacit...

A: Part (a): The initial voltage of the left capacitor is given by:

Q: Provide an overview of 'Capacitance Comparison and Maxwell-Wien Bridges' support your answer with pi...

A: Draw the circuit diagram for the Capacitance comparison bridge,

Q: Explain three reasons why MOSFETs are typically used in computers instead of BJTs.

A: Reason for using MOSFETs instead of BJTs in computers are = (1) Physical size of MOSFET is less than...

Q: A DSB-SC modulated signal is demodulated by applying it to a coherent detector. Evaluate the effect ...

A: Write a general expression for a DSB-SC modulated signal,

Q: Describe in your own words the conditions established by forward- and reverse-bias conditions on a p...

A: Dear student please find the attchments.

Q: For function F(a,b,c) = m(1,3,4,6), which one is equal to F in POS form? 5 F(a,b,c) =(a'+b'+c').(a'+...

A: Click to see the answer