What is the magnitude of the current \( i \) in the given circuit?
\includegraphics[]{q2a phy fw.PNG}
What is the magnitude of the current \( i \) in the given circuit?
\includegraphics[]{q2a phy fw.PNG}
Show Hint
Kirchhoff's Current Law states that at any junction, the sum of currents entering equals the sum of currents leaving.
Solution and Explanation
Using Kirchhoff’s Current Law (KCL), the sum of currents entering a junction equals the sum of currents leaving it:
\[ i = (6 \, \text{A} + 3 \, \text{A}) - (10 \, \text{A} + 3 \, \text{A}) = 4 \, \text{A}. \]Top Questions on Magnitude and Directions of a Vector
Currents of 10 A and 20 A are passed in two long parallel wires A and B, as shown in the figure. A wire C of 15 cm length is placed just in between these two wires, in which 5 A of current is passed. Then what will be the force acting on the wire C? \includegraphics[]{q5 b phy fw.PNG} Calculate: \begin{enumerate} \item Number of turns in the secondary coil, \item Input power. \end{enumerate}
- UP Board XII - 2024
- Physics
- Magnitude and Directions of a Vector
- The position vectors of two points P and Q are given by \(OP=2a-b\) and \(OQ=a+3b\) ,respectively.If a point R divides the line joining P and Q internally in the ratio \(1:2\) ,then the position vector of the point R is ?
- KEAM - 2023
- Mathematics
- Magnitude and Directions of a Vector
- The plane that is perpendicular to the planes \(x-y+2z-4=0\) and \(2x-2y+z=0\) and passes through \( (1,-2,1)\) is
- KEAM - 2023
- Mathematics
- Magnitude and Directions of a Vector
- The direction cosines of the vector \(a=-2i+j-k\) are ?
- KEAM - 2023
- Mathematics
- Magnitude and Directions of a Vector
Let \(a=i+j+2k\) and \(b=i-2j+3k\) be two vectors. Then the unit vector in the direction of \(a-b\) is
- KEAM - 2023
- Mathematics
- Magnitude and Directions of a Vector
Questions Asked in UP Board XII exam
- What is meant by the transformation ratio of a transformer? In a step-down transformer, the transmission line voltage of 2200 volt is changed to 220 volt. Number of turns in the primary coil is 5000. The efficiency of the transformer is 90 percent and output power is 8kW.
- UP Board XII - 2024
- KCL/ KVL in AC Circuits
Two parallel plate capacitors of capacitances \( C \) and \( 2C \) are joined with a battery of voltage difference \( V \) as shown in the figure. If the battery is removed and the space between the plates of the capacitor of capacitance \( C \) is completely filled with a material of dielectric constant \( K \), then find out:
- i) Total capacitance of the combination
- ii) Final voltage difference across the combination
- iii) Total energy stored in the combination.
- UP Board XII - 2024
- Refractive index
Differentiate between interference and diffraction of light. Explain qualitatively the diffraction phenomenon of light by a single slit. Light of 6000 Ã… wavelength is incident normally on a single slit of width \( 3 \times 10^{-4} \, \text{cm} \). Find out the angular width of the central maxima.
- UP Board XII - 2024
- Energy bands
Show that the circumference of the orbit of an electron revolving in the \( n \)-th orbit is equal to \( n\lambda \) with the help of Bohr's quantum theory. Also, show the emission and absorption spectral lines between energy levels \( n = 1 \) and \( n = 3 \) of hydrogen atom.
- UP Board XII - 2024
- Electromagnetic Field (EMF)
What do you mean by the current sensitivity of a moving coil galvanometer? Resistance of a galvanometer is \( 50 \, \Omega \) and for full-scale deflection, the current is \( 0.05 \, \mathrm{A} \). What would be the required length of a wire to convert it into an ammeter of 5 A range? (Area of cross-section of wire = \( 2.7 \times 10^{-6} \, \mathrm{m^2} \), specific resistance of the wire material = \( 5.0 \times 10^{-7} \, \Omega \cdot \mathrm{m} \))
- UP Board XII - 2024
- The Traveling Electromagnetic Wave