The figure shows a tetrahedron where each edg | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) tetrahedron has $4$ vertices and $6$ edges. Let the vertices be $A, B, C, D$. If a battery is connected between any two vertices (say $A$ and $B$)

Vedclass · Accepted Answer

All of the above

Vedclass · Answer

(D) tetrahedron has $4$ vertices and $6$ edges. Let the vertices be $A, B, C, D$. If a battery is connected between any two vertices (say $A$ and $B$),the circuit exhibits symmetry.Due to the symmetry of the tetrahedron,the potential at the other two vertices ($C$ and $D$) will be equal. Thus,no current flows through the branch $CD$ because there is no potential difference between $C$ and $D$.Since the potential at $C$ and $D$ is the same,we can treat them as a single node or remove the branch $CD$ without affecting the circuit. The equivalent resistance between any two vertices of a tetrahedron with edge resistance $r$ is $R_{eq} = r/2$.Since the equivalent resistance is the same regardless of which two vertices the battery is connected to,the current drawn from the battery $(I = V/R_{eq})$ will also be the same in each case.Therefore,all the given statements are correct.

The figure shows a tetrahedron where each edge has a resistance $r$. If a battery is connected between any two vertices of the tetrahedron,identify the correct statement$(s)$.

Similar Questions

Resistors of $10\, \Omega, 5\, \Omega, 7\, \Omega$, and $3\, \Omega$ are connected along the sides $AB, BC, CD$, and $DA$ of a square, respectively. A resistor of $10\, \Omega$ is connected across the diagonal $AC$. What is the equivalent resistance between points $A$ and $B$ in $\Omega$?

The equivalent resistance of a series combination of two resistors is $s$. When they are connected in parallel,the equivalent resistance is $p$. If $s = np$,then the minimum value for $n$ is (Round off to the nearest integer).

Two resistors of resistance $100\,\Omega$ and $200\,\Omega$ are connected in parallel in an electrical circuit. The ratio of the thermal energy developed in $100\,\Omega$ to that in $200\,\Omega$ in a given time is:

Five identical resistors are initially arranged as shown in the figure by solid lines. If two identical resistors are added as shown by the dashed lines,the change in the equivalent resistance between the initial and final configurations is ....... $\Omega$.

In the given circuit, the current in resistance $R_3$ is: (in $\,A$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module