KCET · Physics · Alternating Current
A resistor and a capacitor are connected in series with an AC source. If the potential drop across the capacitor is \(5 \mathrm{~V}\) and that across resistor is \(12 \mathrm{~V}\), then applied voltage is
- A \(13 \mathrm{~V}\)
- B \(17 \mathrm{~V}\)
- C \(5 \mathrm{~V}\)
- D \(12 \mathrm{~V}\)
Answer & Solution
Correct Answer
(A) \(13 \mathrm{~V}\)
Step-by-step Solution
Detailed explanation
Let the applied voltage be \(V\) volt.
Here, \(\mathrm{V}_{\mathrm{R}}=12 \mathrm{~V}, \mathrm{~V}_{\mathrm{C}}=5 \mathrm{~V}\)
\(\begin{aligned}\therefore \mathrm{V} &=\sqrt{\mathrm{V}_{\mathrm{R}}^{2}+\mathrm{V}_{\mathrm{C}}^{2}}=\sqrt{(12)^{2}+(5)^{2}} \\
&=\sqrt{144+25}=\sqrt{169}=13 \mathrm{~V}\end{aligned}\)
Here, \(\mathrm{V}_{\mathrm{R}}=12 \mathrm{~V}, \mathrm{~V}_{\mathrm{C}}=5 \mathrm{~V}\)
\(\begin{aligned}\therefore \mathrm{V} &=\sqrt{\mathrm{V}_{\mathrm{R}}^{2}+\mathrm{V}_{\mathrm{C}}^{2}}=\sqrt{(12)^{2}+(5)^{2}} \\
&=\sqrt{144+25}=\sqrt{169}=13 \mathrm{~V}\end{aligned}\)
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
- Two capacitors of \( 3 \mu \mathrm{F} \) and \( 6 \mu \mathrm{F} \) are connected in series and a potential difference of \( 900 \mathrm{~V} \) is applied across the combination. They are then disconnected and reconnected in parallel. The potential difference across the combination isKCET 2018 Medium
- A plane electromagnetic wave of frequency \( 20 \mathrm{MHz} \) travels through a space along \( x \) direction. If the electric field vector at a certain point in space is \( 6 \mathrm{~V} \mathrm{~m}^{-1} \), what is the magnetic field vector at that point?KCET 2014 Medium
- The equivalent resistance between the points \(A\) and \(B\) in the following circuit is
KCET 2023 Easy - Which of the following is not a thermodynamic coordinate?KCET 2009 Easy
- When light propagates through a given homogeneous medium, the velocities ofKCET 2023 Easy
- An object is placed at a distance of \( 20 \mathrm{~cm} \) from the pole of a concave mirror of focal length \( 10 \)
\( \mathrm{cm} \). The distance of the image formed isKCET 2018 Medium
More PYQs from KCET
- According to Cartesian sign convention, in ray opticsKCET 2017 Easy
- A student while extracting DNA from Aspergillus fungus __________ enzyme to break open the cell wall.KCET 2019 Medium
- If \(k \int_{0}^{1} x \cdot f(3 x) d x=\int_{0}^{3} t \cdot f(t) d t\), then the value of \(k\) isKCET 2007 Medium
- If the conjugate of \((x+i y)(1-2 i)\) is \(1+i\), thenKCET 2012 Hard
- Two spheres carrying charges \( +6 \mu \mathrm{C} \) and \( +9 \mu \mathrm{C} \). separated by a distance \( \mathrm{d} \), experiences a
force of repulsion \( F \). When a charge of \( -3 \mu \mathrm{C} \) is given to both the sphere and kept at the same
distance as before, the new force of repulsion isKCET 2015 Medium - Solubility of a gas in a liquid increases withKCET 2022 Easy