For designing a voltmeter of range $50\,V$ and an ammeter of range $10\,mA$ using a galvanometer which has a coil of resistance $54\,\Omega$ showing a full scale deflection for $1\,mA$ as in figure.
$(A)$ for voltmeter $R \approx 50\,k\Omega$
$(B)$ for ammeter $r \approx 0.2\,\Omega$
$(C)$ for ammeter $r \approx 6\,\Omega$
$(D)$ for voltmeter $R \approx 5\,k \Omega$
$(E)$ for voltmeter $R \approx 500 \Omega$
Choose the correct answer from the options given below
JEE MAIN 2023, Medium
Download our app for free and get started
For voltmeter
$R =\frac{ V }{ I _{ g }}- G$
$=\frac{50}{10^{-3}}-54 \approx 50\,k \Omega$
For ammeter
$S=\frac{I_g G}{I-I_g}=\frac{10^{-3} \times 54}{(10-1) \times 10^{-3}}=6 \Omega( C )$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1One proton beam enters a magnetic field of ${10^{ - 4}}$ $T$ normally, Specific charge = ${10^{11}}\,C/kg.$ velocity = ${10^7}\,m/s$. What is the radius of the circle described by it....$m$View Solution
- 2The ratio of the magnetic field at the centre of a current carrying coil of the radius $a$ and at a distance ‘$a$’ from centre of the coil and perpendicular to the axis of coil isView Solution
- 3Find the magnetic field at the point $P$ in figure. The curved portion is a semicircle connected to two long straight wires.View Solution
- 4In case Hall effect for a strip having charge $Q$ and area of cross-section $A$, the Lorentz force isView Solution
- 5Circular loop of a wire and a long straight wire carry currents $I_c$ and $I_e$, respectively as shown in figure. Assuming that these are placed in the same plane, the magnetic fields will be zero at the centre of the loop when the separation $H$ isView Solution
- 6View SolutionA charged particle is projected in a plane perpendicular to a uniform magnetic field. The area bounded by the path described by the particle is proportional to
- 7A particle of mass $m$ and charge $q$ , moving with velocity $V$ enters region $II$ normal to the boundary as shown in the figure. Region $II$ has a uniform magnetic field $B$ perpendicular to the plane of the paper. The length of the region $II$ is $l$ . Choose the not correct choiceView Solution
- 8View SolutionThe sensitiveness of a moving coil galvanometer can be increased by decreasing
- 9A charge of $1\,C$ is moving in a magnetic field of $0.5\,Tesla$ with a velocity of $10\,m/sec$ Perpendicular to the field. Force experienced is.....$N$View Solution
- 10A $100$ $turns$ coil shown in figure carries a current of $2\, amp$ in a magnetic field $B = 0.2\,Wb/{m^2}$. The torque acting on the coil isView Solution
