KCET · Physics · Magnetic Effects of Current
A moving coil galvanometer is converted into an ammeter of range 0 to \(5 \mathrm{~mA}\). The galvanometer resistance is \(90 \Omega\) and the shunt resistance has a value of \(10 \Omega\). If there are \(\mathbf{5 0}\) divisions in the galvanometer-turned-ammeter on either sides of zero, its current sensitivity is
- A \(2 \times 10^4 \mathrm{div} / \mathrm{A}\)
- B \(1 \times 10^5 \mathrm{~A} / \mathrm{div}\)
- C \(2 \times 10^4 \mathrm{~A} / \mathrm{div}\)
- D \(1 \times 10^5 \mathrm{div} / \mathrm{A}\)
Answer & Solution
Correct Answer
(D) \(1 \times 10^5 \mathrm{div} / \mathrm{A}\)
Step-by-step Solution
Detailed explanation
Given, \(S=10 \Omega\)
\(\begin{aligned} & G=90 \Omega \\ & i=5 \times 10^{-3} \mathrm{~A}\end{aligned}\)
Number of divisions on one side of zero \(=50\)
\(i_g=\frac{S}{S+G} \times i=\left(\frac{10}{90+10}\right)\left(5 \times 10^{-3}\right)=5 \times 10^{-4} \mathrm{~A}\)
Number of divisions per unit current \(=\frac{50}{5 \times 10^{-4}}\) \(=1 \times 10^{-5} \mathrm{div} / \mathrm{A}\)
\(\begin{aligned} & G=90 \Omega \\ & i=5 \times 10^{-3} \mathrm{~A}\end{aligned}\)
Number of divisions on one side of zero \(=50\)
\(i_g=\frac{S}{S+G} \times i=\left(\frac{10}{90+10}\right)\left(5 \times 10^{-3}\right)=5 \times 10^{-4} \mathrm{~A}\)
Number of divisions per unit current \(=\frac{50}{5 \times 10^{-4}}\) \(=1 \times 10^{-5} \mathrm{div} / \mathrm{A}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- Dimensional formula for the universal gravitational constant isKCET 2008 Easy
- A body is projected vertically upwards. The times corresponding to height while ascending and while descending are \(\mathrm{t}_{1}\) and \(\mathrm{t}_{2}\) respectively. Then the velocity of projection is ( is acceleration due to gravity)KCET 2008 Hard
- An LED is constructed from a pn junction based on a certain semi-conducting material whose
energy gap is \( 1.9 \mathrm{eV} \). Then the wavelength of the emitted light isKCET 2015 Easy - The equation of a simple harmonic wave is given by \(y=6 \sin 2 \pi(2 t-0.1 x)\), where and are in \(\mathrm{mm}\) and is in seconds. The phase difference between two particles \(2 \mathrm{~mm}\) apart at any instant isKCET 2008 Medium
- The magnetic field at the centre of a circular current carrying conductor of radius \(r\) is \(\mathrm{B}_{\mathrm{c}}\). The magnetic field on its axis at a distance \(r\) from the centre is \(\mathrm{B}_{\mathrm{a}}\). The value of \(\mathrm{B}_{\mathrm{c}}: \mathrm{B}_{\mathrm{a}}\) will beKCET 2008 Medium
- The surface temperature of the sun which has maximum energy emission at \(500 \mathrm{~nm}\) is \(6000 \mathrm{~K}\). The temperature of a star which has maximum energy emission at \(400 \mathrm{~nm}\) will beKCET 2007 Easy
More PYQs from KCET
- The letter ' \(\mathrm{D}\) ' in D-glucose signifiesKCET 2010 Medium
- \( 0.30 \mathrm{~g} \) of an organic compound containing \( \mathrm{C}, \mathrm{H} \) and Oxygen on combustion yields \( 0.44 \mathrm{~g} \mathrm{CO}_{2} \)
and \( 0.18 \mathrm{~g} \mathrm{H}_{2} \mathrm{O} \). If one mol of compound weighs \( 60 \), then molecular formula of the compound
isKCET 2015 Hard - The electric field lines on the left have twice the separation on those on the right as shown in figure. If the magnitude of the field at \(A\) is \(40 \mathrm{Vm}^{-1}\), what is the force on \(20 \mu \mathrm{C}\) charge kept at \(B\) ?
KCET 2020 Easy - Auxins: Apical dominance:: Gibberellins: __________KCET 2024 Medium
- If \( \alpha \) and \( \beta \) are roots of the equation \( \chi^{2}+x+1=0 \) then \( \alpha^{2}+\beta^{2} \) isKCET 2019 Medium
- If \(\mathbf{a}=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}-\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-5 \mathbf{k}\), \(\mathbf{c}=3 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}-\hat{\mathbf{k}}\), then a vector perpendicular to \(\mathbf{a}\) and in the plane containing \(\mathbf{b}\) and \(\mathbf{c}\) isKCET 2007 Hard