In the following circuit, the reading of the ammeter will be: (Take Zener breakdown voltage = 4 V)
In the following circuit, the reading of the ammeter will be: (Take Zener breakdown voltage = 4 V)
Show Hint
- 24 mA
- 80 mA
- 10 mA
- 60 mA
The Correct Option is C
Approach Solution - 1
We are given:
- Supply voltage \( V_s = 12 \, \text{V} \)
- Series resistor \( R_s = 100 \, \Omega \)
- Zener breakdown voltage \( V_Z = 4 \, \text{V} \)
- Load resistor \( R_L = 400 \, \Omega \)
Step 1: Behavior of the Zener diode
Since the applied voltage \( V_s = 12 \, \text{V} \) is greater than the breakdown voltage of the Zener diode (\( 4 \, \text{V} \)), the Zener diode enters the breakdown region and maintains a constant voltage of \( 4 \, \text{V} \) across itself.
Step 2: Voltage across the load resistor
The Zener diode and the load resistor are in parallel. Therefore, the voltage across the load resistor is also: \[ V_{R_L} = V_Z = 4 \, \text{V} \]
Step 3: Current through the load resistor (measured by the ammeter)
\[ I = \frac{V}{R} = \frac{4}{400} = 0.01 \, \text{A} = 10 \, \text{mA} \]
Step 4: Ammeter Reading
The ammeter is in series with the 400 \( \Omega \) load resistor and thus measures the current through it.
Therefore, the reading of the ammeter is: \[ 10 \, \text{mA} \]
Approach Solution -2
Given the circuit with a Zener diode in series with two resistors, the voltage \(V_1\) across the 100Ω resistor can be calculated as: \[ V_1 = \frac{400}{100 + 400} \times 12V = \frac{4}{5} \times 12 = \frac{48}{5} \, \text{V} \] Here, \(V_1 > V_z\), where \(V_z\) is the Zener voltage. Thus, the Zener breakdown will take place, and the voltage across the 400Ω resistor will be \(4V\). Now, the current \(I\) across the 400Ω resistor is given by Ohm’s law: \[ I = \frac{4}{400} = 10 \, \text{mA} \] \[ \boxed{I = 10 \, \text{mA}} \]
Top JEE Main Physics Questions
- In a hydrogen like atom, when an electron jumps from the $M$ - shell to the $L$ - shell, the wavelength of emitted radiation is $\lambda$. If an electron jumps from $N$-shell to the $L$-shell, the wavelength of emitted radiation will be :
- Two masses $m$ and $\frac{m}{2}$ are connected at the two ends of a massless rigid rod of length $l$. The rod is suspended by a thin wire of torsional constant $k$ at the centre of mass of the rod-mass system(see figure). Because of torsional constant $k$, the restoring torque is $\tau =k\theta$ for angular displacement $\theta$. If the rod is rota ted by $\theta_0$ and released, the tension in it when it passes through its mean position will be:
A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength between 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wien's constant, b = 2.88×106 nm-K. Then,
- $I _{ CM }$ is the moment of inertia of a circular disc about an axis (CM) passing through its center and perpendicular to the plane of disc $I_{A B}$ is it's moment of inertia about an axis $AB$ perpendicular to plane and parallel to axis $CM$ at a distance $\frac{2}{3} R$ from center Where $R$ is the radius of the dise The ratio of $I _{ AB }$ and $I _{ CM }$ is $x: 9$ The value of $x$ is______
- A nucleus disintegrates into two smaller parts, which have their velocities in the ratio $3: 2$ The ratio of their nuclear sizes will be $\left(\frac{x}{3}\right)^{\frac{1}{3}}$ The value of ' $x$ ' is:-
Top JEE Main Zener Diodes Questions
- In the given circuit if the power rating of Zener diode is 10 mW, the value of series resistance Rs to regulate the input unregulated supply is :
- The I-V characteristics of an electronic device shown in the figure. The device is
Which of the following circuits represents a forward biased diode?
The output voltage in the following circuit is (Consider ideal diode case):
- A zener diode with 5V zener voltage is used to regulate an unregulated dc voltage input of 25V. For a 400 \( \Omega \) resistor connected in series, the zener current is found to be 4 times load current. The load current \( I_L \) and load resistance \( R_L \) are:
Top JEE Main Questions
- In a hydrogen like atom, when an electron jumps from the $M$ - shell to the $L$ - shell, the wavelength of emitted radiation is $\lambda$. If an electron jumps from $N$-shell to the $L$-shell, the wavelength of emitted radiation will be :
- Two masses $m$ and $\frac{m}{2}$ are connected at the two ends of a massless rigid rod of length $l$. The rod is suspended by a thin wire of torsional constant $k$ at the centre of mass of the rod-mass system(see figure). Because of torsional constant $k$, the restoring torque is $\tau =k\theta$ for angular displacement $\theta$. If the rod is rota ted by $\theta_0$ and released, the tension in it when it passes through its mean position will be:
What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)- The value of is
- The number of terms of an is even. The sum of the odd terms is and of the even terms is . The last term exceeds the first by . Then the number of terms in the series is ______.