# Question 1.SGPYQ.5: In the figure given below, the potential difference between ......

In the figure given below, the potential difference between points P and Q is

(a) 12 V          (b) 10 V

(c) -6 V           (d) 8 V

Step-by-Step
The 'Blue Check Mark' means that this solution was answered by an expert.
Learn more on how do we answer questions.

At node P,

\begin{aligned} & 2+\frac{V_{ P }-10}{2}+\frac{V_{ P }}{8}=0 \\ & 16+4 V_{ P }-40+V_{ P }=0 \\ & 5 V_{ P }-24=0 \Rightarrow V_{ P }=\frac{24}{5} \end{aligned}

At node Q,

\begin{aligned} & 2=\frac{V_{ Q }-10}{4}+\frac{V_{ Q }-0}{6} \\ & 2=\frac{6 V_{ Q }-60+4 V_{ Q }}{24} \end{aligned}

$48=10 V_{ Q }-60 \Rightarrow 24=5 V_{ Q }-30 \Rightarrow V_{ Q }=\frac{54}{5}$

Therefore, the potential difference between P and Q is $V_{ P }-V_{ Q }$

$V_{ P }-V_{ Q }=\frac{24}{5}-\frac{54}{5}=-6 V$

## Related Answered Questions

Question: 1.SGPYQ.27

## Verified Answer:

 i_{ L }\left(0^{-}\right)=\frac{\text { To...
Question: 1.SGPYQ.28

## Verified Answer:

$E_1$ is the stored energy and [lat...
Question: 1.SGPYQ.26

## Verified Answer:

To find the Thevenin voltage open circuit the term...
Question: 1.SGPYQ.1

## Verified Answer:

Power is the rate of change of energy. Therefore, ...
Question: 1.SGPYQ.2

## Verified Answer:

Applying Kirchhoff’s current law, sum of incoming ...
Question: 1.SGPYQ.3

## Verified Answer:

Given that  Z_1=10 \angle-60^{\circ}, Z_2=1...
Question: 1.SGPYQ.4

## Verified Answer:

Given that for resonance  \left|V_{ L }\rig...
Question: 1.SGPYQ.6

## Verified Answer:

For maximum power transfer,  R_{ L }=\left|...
Question: 1.SGPYQ.7

## Verified Answer:

The equivalent circuit is Applying nodal analysis ...
Question: 1.SGPYQ.8

## Verified Answer:

At t < 0;  V_C\left(0^{-}\right)=0 ; \qu...
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 11, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://holooly.com/solutions-v2-1/in-the-figure-given-below-the-potential-difference-between-points-p-and-q-is-a-12-v-b-10-v-c-6-v-d-8-v/", "fetch_time": 1716048789000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2024-22/segments/1715971057440.7/warc/CC-MAIN-20240518152242-20240518182242-00279.warc.gz", "warc_record_offset": 290336214, "warc_record_length": 21153, "token_count": 637, "char_count": 1801, "score": 3.828125, "int_score": 4, "crawl": "CC-MAIN-2024-22", "snapshot_type": "latest", "language": "en", "language_score": 0.7086132168769836, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00062-of-00064.parquet"}