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JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism

एक क्षेत्र में स्थिर विद्युत एवं चुम्बकीय क्षेत्र उपस्थित हैं। चुम्बकीय क्षेत्र \(\overrightarrow{ B }= B _{0}(\hat{i}+2 \hat{j}-4 \hat{k})\) है। यदि एक परीक्षण आवेश, जिसका वेग \(\vec{v}=v_{0}(3 \hat{i}-\hat{j}+2 \hat{k})\), पर कोई बल नहीं लगता है तो इस क्षेत्र में SI मात्रकों में विद्युत क्षेत्र होगा

  1. A \(\vec E =  - {v_0}{B_0}\left( {3\hat i - 2\hat j - 4\hat k} \right)\)
  2. B \(\vec E =  - {v_0}{B_0}\left( {\hat i + \hat j + 7\hat k} \right)\)
  3. C \(\vec E = {v_0}{B_0}\left( {14\hat j + 7\hat k} \right)\)
  4. D \(\vec E =  - {v_0}{B_0}\left( {14\hat j + 7\hat k} \right)\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\vec E =  - {v_0}{B_0}\left( {14\hat j + 7\hat k} \right)\)

Step-by-step Solution

Detailed explanation

According to question, as the test charge experiences no net force in that region i.e., sum of electric force \(\left( {{{\text{F}}_{\text{e}}} = {\text{q}}\overrightarrow {\text{E}} } \right)\,\) and magnetic forces…
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