Question
Determine the current in each branch of the network shown in Fig.:
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The conduction band of a solid is partially filled at 0K. Will it be a conductor, a semiconductor or an insulator?
Consider a situation similar to that of the previous problem except that the ends of the rod slide on a pair of thick metallic rails laid parallel to the wire. At one end the rails are connected by resistor of resistance R.
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- In this situation what is the current in the resistance R?
- Find the rate of heat developed in the resistor.
- Find the power delivered by external agent exerting the force on the rod.
An $\text{X-OR}$ gate has following truth table:
It is represented by following logic relation
$\text{Y}=\bar{\text{A}}.\text{B}+\text{A}.\bar{\text{B}}$
Build this gate using $\ce{AND, OR}$ and $\text{NOT}$ gates.
→| $A$ | $B$ | $Y$ |
| $0$ | $0$ | $0$ |
| $0$ | $1$ | $1$ |
| $1$ | $0$ | $1$ |
| $1$ | $1$ | $0$ |
$\text{Y}=\bar{\text{A}}.\text{B}+\text{A}.\bar{\text{B}}$
Build this gate using $\ce{AND, OR}$ and $\text{NOT}$ gates.
A current i is passed through a silver strip of width d and area of cross-section A. The number of free electrons per unit volume is n.
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The heavier block in an Atwood machine has a mass twice that of the lighter one. The tension in the string is 16.0N when the system is set into motion. Find the decrease in the gravitational potential energy during the first second after the system is released from rest.
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→An inductor-coil of resistance $10\Omega$ and induetanes 120mH is connected across a battery of emf 6V and Internal resistance $2\Omega.$ Find the charge which flows through the inductor in:
→- 10ms
- 20ms
- 100 ms after the connections are made.
An electrical technician requires a capacitance of $2\mu F$ in a circuitacross a potential difference of $1kV. A$ large number of $1\mu F$ capacitors are available to him each of which can withstand a potential difference of not more than $400V$. Suggest a possible arrangement that requires the minimum number of capacitors.
→A long, straight wire carries a current i. Let $B_1$, be the magnetic field at a point Pat a distance d from the wire. Consider a section of length l of this wire such that the point $P$ lies on a perpendicular bisector of the section. Let $B2$ be the magnetic field at this point due to this section only. Find the value of $\frac{\text{d}}{\text{l}}$ so that $B_2$_ differs from $B_1$, by $1\%.$
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